The value of 'c' for which the set `{(x, y)|x^2+y^2+2xle1}bigcap{(x, y)|x-y+cge0)}` contains only one point in common is

The set of real values of k for which the lines x + 3y +1=0, kx + 2y-2=0 and 2x-y + 3 = 0 form a triangle is

Find the values of p for which the equations 3x-4y=1 and 9x+py=2 will have only one set of solutions.

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is (a) x+y=2 (b) x-y=2 (c) 2x-y=1 (d) none of these

Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=0.

The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

The complete set of real values of 'a' such that the point lies triangle p(a, sin a) lies inside the triangle formed by the lines x-2y +2= 0; x+y=0 and x-y-pi=0

The number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-8y-24=0 is

If x : y = 1 : 2 , then the value of the ratio (x + 2y) : (2x + 9y) is -

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

For all positive values of x and y the value of ((1+x+x^(2))(1+y+y^(2)))/(xy) is-