If parabolas `y^2=lambdax` and `25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2` are equal, then the value of `lambda` is 9 (b) 3 (c) 7 (d) 6

If the parabola y^(2)=(lambda x)/(4) and 25((x-3)^(2)+(y+2)^(2))=(3x-4y-2)^(2) are equal then lambda =

If 2x+y=5 and 3x-4y=2, then the value of 2xy is (a) 4 (b) 6 (c) 8 (d) 10

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

The intercepts made by the line y=x+lambda on the circles x^(2)+y^(2)-4=0 and x^(2)+y^(2)-10x-14y+65=0 are equal,then the value of 2 lambda-3 is

If 3x-4y+z=7; 2x-z+3y=19 ; x+2y+2z=24 , then what is the value of z ? (a) 4 (b) 5 (c) 6 (d) 8

If the equation lambdax^2+2y^2-5xy+5x-7y+3=0 represents two straight lines , then the value of lambda will be

If y=3^(x-1)+3^(-x-1), then the least value of y is (a)2(b)6(c)2/3(d)3/2

If the lines (x-1)/(2)=(y)/(-1)=(z)/(2) and x-y+z-2=0=lambdax+3z+5 are coplanar, then the value of 7lambda is equal to

If 4^(x)2^(y) = 128 and 3^(3x)3^(2y) - 9^(xy) = 0 , then the value of x + y can be equal to