Which of the following can be slope of tangent to the hyperbola `4x^2-y^2=4?` (a)1 (b) `-3` (c) 2 (d) `-3/2`

Which of the following line can be tangent to the parabola y^2=8x ? (a) x-y+2=0 (b) 9x-3y+2=0 (c) x+2y+8=0 (d) x+3y+12=0

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

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is 2 (b) 2sqrt(3) (c) 4 (d) 4/5

Find the equation of normal to the hyperbola 3x^2-y^2=1 having slope 1/3dot

Find the equation of normal to the hyperbola 3x^2-y^2=1 having slope 1/3dot

For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a tangent to which of the following certain hyperbolas? (a) 9x^2+4y^2=36 (b) 4x^2+9y^2=36 (c) 9x^2-4y^2=36 (d) 4x^2-9y^2=36

The values of 'm' for which a line with slope m is common tangent to the hyperbola x^2/a^2-y^2/b^2=1 and parabola y^2 = 4ax can lie in interval:

Find the equation of the two tangents from the point (1,2) to the hyperbola 2x^(2)-3y^2=6

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.