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yes bob this was what it meant.

**niharika_kumar**- Replies: 5

If n is a positive integer and

is a cube root of unity, then find the number of possible values of

well what are the things that should come in our mind for making substitution when we encounter such problems?

yes I solved it now. Thanks.

here comes another question:-

I tried integrating left or differentiating right but it became lengthy.

bobbym, what's EM method?

**niharika_kumar**- Replies: 12

Q.1.

find a,b,c,d and f.

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.