The values of a for which `y=x^(2)+ax+25` touches the axis of x are .............. .

The value of k for which the line x+y+1=0 touches the parabola y^2 = 4kx is :

The values of lamda for which the line y=x+ lamda touches the ellipse 9x^(2)+16y^(2)=144 , are

Find the value of lambda for which the plane x+y+z=sqrt(3)lambda touches the sphere x^2+y^2+z^2-2x-2y-2z=6.

The line y=x+5 touches

If the values of m for which the line y=mx+2sqrt(5) touches the hyperbola 16x^(2)-9y^(2)=144 are the roots of the equation x^(2)-(a+b)x-4=0 , then the value of a+b is

Find the values of 'a' for which -3<(x^2+ax-2)/(x^2+x+1)<2 is valid for all real x.

Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is a positive decr4easing function, then the set of values of k for which the major axis is the x-axis is (-3,2)dot the set of values of k for which the major axis is the y-axis is (-oo,2)dot the set of values of k for which the major axis is the y-axis is (-oo,-3)uu(2,oo) the set of values of k for which the major axis is the y-axis is (-3,-oo,)

Find the equation of the circle, which touches the axis of x at a distance 3 from the Origin and intercepts a length 6 on the axis of y.

Find the values of 'a for which the function : f(x) = x^2 - 2ax + 6 is increasing when x > 0