Home
Class 12
MATHS
If alpha1,alpha2 are the roots of equati...

If `alpha_1,alpha_2` are the roots of equation `x 62-p x+1=0a n dbeta_1,beta_2` are those of equation `x^2=q x+1=0` and vector `alpha_1 hat i+beta_1 hat j` is parallel to `alpha_2 hat i+beta_2 hat j` , then `p=+-q` b. `p=+-2q` c. `p=2q` d. none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha_1,alpha_2 are the roots of equation x ^2-p x+1=0a n dbeta_1,beta_2 are those of equation x^2-q x+1=0 and vector alpha_1 hat i+beta_1 hat j is parallel to alpha_2 hat i+beta_2 hat j , then p= a. +-q b. p=+-2q c. p=2q d. none of these

If alpha_1, alpha_2 be the roots of the equation x^2-px+1=0 and beta_1,beta_2 be those of equatiion x^2-qx+1=0 and vecu=alpha_1hati+alpha_2hatj,and vecv=beta_1hati+beta_2hatj is parallel.

If alpha_1, alpha_2 be the roots of equation x^2+px+q=0 and beta_1,beta be those of equation x^2+rx+s=0 and the system of equations alpha_1y+alpha_2z=0 and beta_1 y+beta_2 z=0 has non trivial solution, show that p^2/r^2=q/s

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0. a n dalpha^2,beta are the roots of quadratic equation x^2-q x+8=0, then find p ,q,alpha,betadot

If alpha , beta are the roots of x^2-p(x+1)+c=0 then (1+alpha )( 1+ beta )=

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alphabeta the roots of the equation x^2-x-1=0 , then the quadratic equation whose roots are (1 + alpha)/(2 -alpha),(1 + beta)/(2 - beta)

If alpha, beta be the roots of the equation x^2-px+q=0 then find the equation whose roots are q/(p-alpha) and q/(p-beta)

If alpha, beta are the roots of the equations x^2+px+q=0 then one of the roots of the equation qx^2-(p^2-2q)x+q=0 is (A) 0 (B) 1 (C) alpha/beta (D) alpha beta

If the roots of a_1x^(2)+b_1x+c_1=0 and alpha_1 , beta_1 and those of a_2x^(2)+b_2x+c_2=0 are alpha_2 , beta_2 such that alpha_1alpha_2=beta_1beta_2=1 then :