The number of tangents to the curve `x^(3/2)+y^(3/2)=2a^(3/2),a >0,` which are equally inclined to the axes, is (a)2 (b) 1 (c) 0 (d) 4

The number of tangents to the curve x^(3/2)+y^(3/2)=2a^(3/2),a >0, which are equally inclined to the axes, is 2 (b) 1 (c) 0 (d) 4

Find the point on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

If the sum of the squares of the intercepts on the axes cut off by tangent to the curve x^(1/3)+y^(1/3)=a^(1/3),\ a >0 at (a/8, a/8) is 2, then a= 1 (b) 2 (c) 4 (d) 8

The point on the curve 6y=4x^(3)-3x^(2) , the tangent at which makes an equal angle with the coordinate axes is

If the lines joining the points of intersection of the curve 4x^2+9y+18 x y=1 and the line y=2x+c to the origin are equally inclined to the y-axis, the c is: -1 (b) 1/3 (c) 2/3 (d) -1/2

If the lines joining the points of intersection of the curve 4x^2+9y+18 x y=1 and the line y=2x+c to the origin are equally inclined to the y-axis, the c is: -1 (b) 1/3 (c) 2/3 (d) -1/2

Find the points on the curve x^2+y^2-2x-3=0 at which the tangents are parallel to the x-axis.

The slope of the tangent to the curve y=sqrt(4-x^2) at the point where the ordinate and the abscissa are equal is (a) -1 (b) 1 (c) 0 (d) none of these

The slope of the tangent to the curve y=sqrt(4-x^2) at the point where the ordinate and the abscissa are equal is (a) -1 (b) 1 (c) 0 (d) none of these