If ` sin alpha and cos alpha ` are the roots of `25 x ^2 +5x-12=0`, then value of ` sin `2alpha ` is

If sinalphaandcosalpha are the roots of 25x^(2)+5x-12=0 then the value of sin2alpha is

cosalpha is a root of the equation 25 x^2+5x-12=0 , -1 le x le 0 then the value of sin2alpha is:

If cos^4 alpha +k and sin^4 alpha+k are the roots of x^2+lambda(2 x+1)=0 and sin^2 alpha+1 and cos^2 alpha +1 are the roots of x^2 +8 x+4=0, then the sum of the possible values of lambda is

If cos^4 alpha +k and sin^4 alpha+k are the roots of x^2+lambda(2 x+1)=0 and sin^2 alpha+1 and cos^2 alpha +1 are the roots of x^2 +8 x+4=0, then the sum of the possible values of lambda is

If cos^4 alpha +k and sin^4 alpha+k are the roots of x^2+lambda(2 x+1)=0 and sin^2 alpha+1 and cos^2 alpha +1 are the roots of x^2 +8 x+4=0, then the sum of the possible values of lambda is

If tan alpha and tan beta are the roots of the equation x^(2) +px + q = 0 , then the value of sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) is

Q. If tan alpha and tan beta are the roots of equation x^2-12x-3=0 , then the value of sin^2(alpha+beta)+2sin(alpha+beta)cos(alpha+beta)+5cos^2(alpha+beta) is

Q.If tan alpha and tan beta are the roots of equation x^(2)-12x-3=0, then the value of sin^(2)(alpha+beta)+2sin(alpha+beta)cos(alpha+beta)+5cos^(2)(alpha+beta) is

If cos^(4)alpha+k and sin^(4)alpha+k are the roots of x^(2)+lambda(2x+1)=0 and sin^(2)alpha+1 and cos^(2)alpha+1 are the roots of x^(2)+8x+4=0, then the sum of the possible values of lambda is