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#826 2016-10-24 16:27:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 514 is correct. Excellent, bobbym!

515. If

are the zeroes of the polynomial
, form a quadratic polynomial whose zeroes are
and


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#827 2016-10-24 17:34:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#828 2016-10-24 23:10:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 515 is correct. Excellent, bobbym!

516. The zeroes of the polynomial

are in Arithmetic Progression. Find them.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#829 2016-10-25 01:01:15

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#830 2016-10-25 16:34:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 516 is correct. Excellent, bobbym!

517. (a) The sum of the seven terms of an Arithmetic Progression is 182. If its 4th term and the 17th term are in the ratio 1:5, find the Arithmetic Progression (first four terms).

#517. (b) Find the sum of all natural numbers between 500 and 1000 which are divisible by 13.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#831 2016-10-25 18:09:19

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#832 2016-10-26 16:37:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 517 (b) is correct. Neat work, bobbym!

518. If (-2,1) is the centroid of a triangle, two of whose vertices are (1,-6) and (-5,2), find the area of the triangle.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#833 2016-10-26 20:07:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#834 2016-10-27 17:02:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 518 is correct. Excellent, bobbym!

519. Find the value of 'a' for which the area of the triangle formed by the points A(a,2a), B(-2,6), and C(3,1) is 10 square units.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#835 2016-10-27 17:53:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#836 2016-10-27 23:58:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The two solutions in 519 are correct. Excellent, bobbym!

520. Find the coordinates of the end points A and B of the segment whose points of trisection are M(2,-1) and N(3,1).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#837 2016-10-28 11:39:15

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#838 2016-10-28 14:46:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution in 520 is correct. Excellent, bobbym!

521. The centroid of a triangle ABC is (2,7). The points B and C lie on x and y-axis respectively. The coordinates of the point A are (4,8). Find the coordinates of the point B and C.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#839 2016-10-29 00:30:31

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#840 2016-10-29 02:36:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution (two values) in 521 are correct. Excellent, bobbym!

522. If (-5) is a root of the quadratic equation

and the quadratic equation
has equal roots, then find the value of p and k.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#841 2016-10-29 15:18:01

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#842 2016-10-29 15:29:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 522 (two parts) is correct. Excellent, bobbym!

523. Solve:


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#843 2016-10-29 16:19:10

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#844 2016-10-30 00:41:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 523 is correct. Excellent, bobbym!

524. A train travels 180 km at uniform speed. If the speed had been 9 km/hour more, it would have taken 1 hour less for the same journey. Find the speed of the train.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#845 2016-10-30 04:34:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#846 2016-10-30 14:53:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 524 is correct. Excellent, bobbym!

525. A bag contains 19 balls bearing numbers 1, 2, 3, ..., 19 respectively. A ball is drawn at random from the box. Find the probability that the number on the ball is
(a) a prime number
(b) divisible by 3 or 5
(c) neither divisible by 5 nor by 10
(d) an even number.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#847 2016-10-30 17:17:41

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#848 2016-10-30 23:00:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 525 (four parts) are correct. Excellent, bobbym!

526. A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bears:
(a) a one digit number
(b) a number divisible by 5
(c) an odd number less than 30
(d) a composite number.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#849 2016-10-31 03:23:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#850 2016-10-31 16:42:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Compute the solution:

Hi;

The solution 526 (four parts) are correct. Excellent, bobbym!

527. The sum of the first sixteen terms of an Arithmetic Progression is 112 and the sum of the next fourteen terms is 518. Find the Arithmetic Progression. (first four terms).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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