JEE Main: Co-ordinate Geometry Exam Quiz!

If the line x = 1/2, is the directrix of a parabola y² – kx + 6 = 0, then which of the following is a value of ‘k’?  

Equations x = t²+t+1 and y = t² – t +1, represents which of the following curve?

Angle between tangents drawn from the point (2, 1) to the parabola y² = – 32x is:

A parabola has the origin at it focus and the line x = 2 as its directrix. Then the vertex of the parabola will be at: 

The eccentricity of the ellipse with its centre at the origin is 1/2. If one of the directrix is x = 4, then which of the following correctly represent the equation of ellipse. 

The number of values of c such that the straight line y = 4x + c touches the curve ;is:

Tangents are drawn to the ellipse at the end of the latus retum. The area of the quadrilateral so formed is: 

If x = 9 is the chord of the contact of the hyperbola x² – y² = 9, then the equation of the corresponding pair of tangents is 

2x + √6 y = 2 touches the hyperbola x² – 2y² = 4, then the point of contact is: 

The eccentricity of hyperbola 3x² – y² = 4 is: