If sinthetaand costheta are the roots of...

If `sinthetaand costheta` are the roots of the equation `ax^2+bx+c=0`, then (A) `(a-c)^2=b^2+c^2` (B) `(a+c)^2=b^2-c^2` (C) `a^2=b^2-2ac` (D) `a^2+b^2-2ac=0`

AI Generated Solution

Similar Questions

Explore conceptually related problems

If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0 , then b^2= (a) a^2-2a c (b) a^2+2a c (c) a^2-a c (d) a^2+a c

If sin theta, cos theta are the roots of the equation ax^(2)+bx+c=0 then find the value of ((a+c)^(2))/(b^(2)+c^(2))

If r is the ratio of the roots of the equation ax^2 + bx + c = 0 , show that (r+1)^2/r =(b^2)/(ac)

If sin theta and cos theta are the roots of the quadratic equation ax ^(2) +bx + c=0(a ne 0). Then find the value of (b ^(2) -a^(2))/(ac ).

If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show that 12b^(2)=49ac .

If alpha,beta are the roots of the equation ax^2 + bx+c=0 then the roots of the equation (a + b + c)x^2-(b + 2c)x+c=0 are (a) c (b) d-c (c) 2c (d) 0

If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

If alpha , beta are the roots of ax^2+bx +c=0 then (a alpha + b)^(-2)+( a beta + b)^(-2) =

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

If alpha and beta are the roots of the equation ax^(2)+bc+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is