The inclination of the tangent to the curve y²=4x drawn at the point (-1,2) is i) π/3 ii) π/6 iii) π/4 iv)π/2

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Find the equations of the tangents drawn to the curve y^2-2x^2-4y+8=0. from point (1,2)

The equation of tangent drawn to the curve y^(2)-2x^(3)-4y+8=0 from the point (1, 2) is given by

Find the inclination from X - axis of the tangent at point (a, 2a) of the curve y^(2) = 4ax .

Find the inclination from X-axis of the tangent drawn of the following curves at the given points: (i) Curve x^(2)-2y^(2)=8 at point (4, 2) (ii) Curve y = (x-1)(x-2) at point (2, 0) (iii) Curve y^(2)=2x^(3) at point (2, 4)

Number of solutions of the equation tanx+secx=2cosx lying in the interval [0,2π] is

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

The length of latus - rectum of the parabola x^(2) - 4x + 8y + 12 = 0 is (i) 2 (ii) 4 (iii) 6 (iv) 8

The angle between the vectors hat(i) - hat(j) and hat(j) - hat(k) is a) -π/3 b) 2π/3 c) π/6 d) 5π/6