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How to proceed?

**niharika_kumar**- Replies: 2

and

yes I did that.

Got it but with patience.

thank you math9maniac and bobbym.

**niharika_kumar**- Replies: 10

let

and f(1)=2,f(2)=5,f(3)=10,f(4)=17, Then find product of digits of f(5).p.s. I am getting f(5)=26 and hence the answer 2*6=12 but unfortunately it's not the correct answer.Help!

It was quietly easy.

Thanks for helping me out.

Well the answer given is p≥ -1/4.

Here is one more question on quadratic equations.

Assume that p is a real number.Find the possible values of p in order to have real solutions for

.I shifted x^1/3 to RHS and cubed both sides and tried to simplify it to a 2 degree equation so that I could apply D≥0 for real roots, but was unsuccessful in making the equation quadratic.

Pls help.

**niharika_kumar**- Replies: 23

Let P(x) be a quadratic polynomial with real coefficients such that for all real x the relation 2(1+P(x))=P(x-1)+P(x+1) holds.

P(0)=8 and P(2)=32.

If the range of P(x) is [m,∞), then the value of m is?

oh yes.

I've found it is usually a good thing to agree with bobbym.

no doubt about it.

Find the number of 7 letter words that can be formed using the letters of the word SUCCESS so that the two C are together but no two S are together?

thanks bob.

and yes I will surely be disturbing you with other problems on conic section as well.:)

the question I easily made:-

#3 normals to a parabola y^2 =4ax meet at (h,k).Then show that h>4a.

The question I have tried:-

#Find the locus of point such that 2 of the 3 normals drawn from them to the parabola coincide.

This is what i tried;

Now what to do after this.

This is what I don't know where to start.

#Find the locus of the vertices of the family of parabolas

my query was that how can I analyze the problems based on conic sections efficiently?

oh thanks.

Well, I would be happy if you will help me by suggesting some ways on how to have a good command in conics. Pls help.

Let

be squares such that for each n≥ 1, the length of a side of equals the length of a diagonal of .If the length of the side of is 10 cm, then for which of the following values of n is the area of less than 1 sq. cm.thank you for the detailed solution.

**niharika_kumar**- Replies: 22

The tangent and normal at the point P(at²,2at) to the parabola y²=4ax meet the x-axis in T and G respectively, then find the angle at which the tangent at P to the parabola is inclined to tangent at p to the circle through P,T,G.

thanks I got it too.

**niharika_kumar**- Replies: 25

Consider the set of eight vectors V={

}.Three non-coplanarvectors can be chosen from V in ways.Then p is?

can you give me a diagram of the double ordinate of a parabola.

I am not able to visualize it.

thanks.

and

HAPPY HOLI to all of you.

**niharika_kumar**- Replies: 12

If two distinct chords of a circle

drawn from a point (p,q) is bisected by x-axis ,then which of the following is correct.a)

b)

c)

d)