What does the following equation represent ? Explain .
`p^(2)+2pq+q^2 = 1`

Write all the terms of each of the following algebraic expressions : -7pq^(4)-9pq^(2)q+(3p)/(q)-(2)/(p)+11p+13q-3

If 3rd, 8th and 13th terms of a G.P are p ,q and r respectively, then which one of the following is correct? (i) q^(2)=pr (ii) r^(2)=pq (iii) pqr=1 (iv) 2q=p+r

(a) How does the Hardy- Weinberg's expression (p^(2) + 2pq + q^(2) = 1) explain that genetic equilibrium is maintained in a population ? (b ) List any two factors that can disturb the genetic equilibrium.

Sum the following infinite series (p-q) (p+q) + (1)/(2!) (p-q)(p+q) (p^(2) + q^(2))+(1)/(3!) (p-q) (p+q) (p^(4)+q^(4)+p^(2) q^(2)) + ...oo

Which principle says that allele frequencies in a population are stable and is constant generation to generation. p^(2)+2pq+q^(2) = 1

What conic does the equation 25(x^2+y^2-2x+1)=(4x-3y+1)^2 represent?

Let PQR be a right - angled isosceles triangle , right angled at P(2,1). If the equation of the line QR is 2x+y=3 , then the equation representing the pair of lines PQ and PR is

The equations of the tangents drawn from the origin to the circle x^2 + y^2 - 2px - 2qy + q^2 = 0 are perpendicular if (A) p^2 = q^2 (B) p^2 = q^2 =1 (C) p = q/2 (D) q= p/2

If one root is square of the other root of the equation x^2+p x+q=0, then the relation between pa n dq is p^3-q(3p-1)+q^2=0 p^3-q(3p+1)+q^2=0 p^3+q(3p-1)+q^2=0 p^3+q(3p+1)+q^2=0

If t_n denotes the nth term of an A.P. and t_p= 1/q, t_q= 1/p then which one of the following is necessarily a root of the equation (p+2q-3r)x^2+(q+2r-3p)x+(r+2p-3q)=0 (A) t_p (B) t_q (C) t_(pq) (D) t_(p+q)