Quadratic equations class 10 CBSE Ex 4.1 Q1(1,2)

If alpha and beta are the roots of the quadratic equation x^(2) + px + q = 0 , then form the quadratic equation whose roots are alpha + (1)/(beta), beta + (1)/(alpha)

If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt(1-a^2)=0 are

Find a quadratic equation whose product of roots x_1 and x_2 is equal to 4 and satisfying the relation (x_1)/(x_1-1)+(x_2)/(x_2-1) =2.

Find a quadratic equation whose product of roots x_1 a n d x_2 is equal to 4 and satisfying the relation (x_1)/(x_1-1)+(x_2)/(x_2-1)=2.

Solve the following quadratic equations by factorization: 1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6

If x^2+p x+q=0 is the quadratic equation whose roots are a-2a n d b-2 where aa n db are the roots of x^2-3x+1=0, then p-1,q=5 b. p=1,1=-5 c. p=-1,q=1 d. p=1,q=-1

If x^2+p x+q=0 is the quadratic equation whose roots are a-2a n d b-2 where aa n db are the roots of x^2-3x+1=0, then p-1,q=5 b. p=1,1=-5 c. p=-1,q=1 d. p=1,q=-1

If x^2+p x+q=0 is the quadratic equation whose roots are a-2a n d b-2 where aa n db are the roots of x^2-3x+1=0, then p-1,q=5 b. p=1,1=-5 c. p=-1,q=1 d. p=1,q=-1

If (1 - p) is a root of quadratic equation x^(2) + px + (1- p)=0 , then its roots are

Each root of the equation ax^2 + bx + c = 0 is decreased by 1. The quadratic equation with these roots is x^2 + 4x + 1 = 0 . The numerical value of b + c is……………….