If `(-2,7)` is the highest point on the graph of` y =-2x^2-4ax +lambda`, then `lambda` equals

If (-2,7) is the highest point on the graph of y=-2 x^2-4 a x+k , then |k| equals

P lies on the line y=x and Q lies on y= 2x . The equation for the locus of the mid point of PQ, if |PQ| = 4 , is 25x^2 - lambda xy + 13y^2 = 4 , then lambda equals

Plies on the line y=x and Q lies on y=2x. The equation for the locus of the mid point of PQ if |PQ|=4, is 25x^(2)-lambda xy+13y^(2)=4 then lambda equals

If the area (in sq.units) bounded by the parabola y^(2)=4 lambda x and the line y=lambda x,lambda>0, is (1)/(9), then lambda is equal to:

If lambda x-by+b^(2)=0 is tangent to the circle x^(2)+y^(2)=ax+by then lambda can be equal to

let 1+2x+3x^(2)+4x^(3)+.......+ the least value of x is lambda then lambda equals