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 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 -1 (b) 1 (c) 0 (d) none of these

The number of possible tangents which can be drawn to the curve 4x^2-9y^2=36 , which are perpendicular to the straight line 5x+2y-10=0 , is (A) 0 (B) 1 (C) 2 (D) 4

The straight lines represented by the equation 135 x^2-136 x y+33 y^2=0 are equally inclined to the line (a) x-2y=7 (b) x+2y=7 (c) x-2y=4 (d) 3x+2y=4

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to x-y=2 is (a) x-y+3=0 (b) x-y+1=0 (c) x-y=0 (d) x-y-3=0

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

For what value of x the tangent of the curve y = x^(3) - 3x^(2) + 2x -5 is parallel to x + y + 3 = 0

Find the equation of tangent and normal to the curve y = x^(2) + 3x + 2 at (0, 2)