4x^(2)s^(2)-12pqvs+9p^(2)q^(2)

If p sec theta+q tan theta=1 and p^(2)sec^(2)theta-q^(2)tan^(2)theta=5 then find the value of (9p^(-2)-4q^(-2))

If the difference of the roots of x^(2)-px+q=0 is unity,then p^(2)+4q=1b .p^(2)-4q=1c*p^(2)+4q^(2)=(1+2q)^(2)d4p^(2)+q^(2)=(1+2p)^(2)

If sec A = x+(1)/(4x) prove that: sec A + tan A = 2x or (1)/(2x) (b) If "tan" theta = (p)/(q) ,show that : (p sin theta - q costheta)/(p"sin"theta+qcostheta)=( p^(2) - q^(2))/(p^(2)+q^(2))

If vec P+vec Q=vec R and vec P-vec Q=vec S , then R^(2)+S^(2) is equal to (A) P^(2)+Q^(2) (B) 2(P^(2)-Q^(2)) (C) 2(P^(2)+Q^(2)) (D) 4PQ

Solve the following quadratic equations by factorisation method : (i) x^(3) - 4x + 3 = 0 (ii) m^(2) - m - 2 = 0 (iii) p^(2) + 9p + 20 =0 (iv) q^(2) + q-12= 0 (v) y^(2) + 2y - 35= 0 (vi) 3x^(2) + 5x= 0 (vii) x^(2) - 7x + 12=0 (viii) x^(2) - 7x - 18 = 0

Solve the following equation for x: 9x^(2)-9(p+q)x+(2p^(2)+5pq+2q^(2))=0

If the difference of the roots of x^2-p x+q=0 is unity, then a) p^2+4q=1 b) p^2-4q=1 c) p^2+4q^2=(1+2q)^2 d) 4p^2+q^2=(1+2p)^2

Let the polynomials be (1) -13q^(5) + 4q^(2) + 12q (2) (x^(2) + 4 ) ( x^(2) + 9) (3) 4q^(8) - q^(6) + q^(2) (4) - ( 5)/( 7) y^(12) + y^(3) + y^(5) Then ascending order of their degree is