JEE Main: Co-ordinate Geometry Exam Quiz!

10 Questions | Total Attempts: 46

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JEE Main: Co-ordinate Geometry Exam Quiz!

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Questions and Answers
  • 1. 
    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’?  
    • A. 

      – 4

    • B. 

      – 6

    • C. 

      – 1/4

    • D. 

      – 8

  • 2. 
    Equations x = t2+t+1 and y = t2 – t +1, represents which of the following curve?
    • A. 

      An ellipse

    • B. 

      A pair of straight

    • C. 

      A hyperbola

    • D. 

      A parabola

  • 3. 
    Angle between tangents drawn from the point (2, 1) to the parabola y2 = – 32x is:
    • A. 
    • B. 
    • C. 
    • D. 
  • 4. 
    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: 
    • A. 

      (2, 0)

    • B. 

      (0, 2)

    • C. 

      (1, 0)

    • D. 

      (0, 1)

  • 5. 
    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. 
    • A. 
    • B. 
    • C. 
    • D. 
  • 6. 
    The number of values of c such that the straight line y = 4x + c touches the curve ;is:
    • A. 

      4

    • B. 

      0

    • C. 

      Infinite

    • D. 

      2

  • 7. 
    Tangents are drawn to the ellipse at the end of the latus retum. The area of the quadrilateral so formed is: 
    • A. 

      54

    • B. 

      27

    • C. 

      27/2

    • D. 

      36

  • 8. 
    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 
    • A. 
    • B. 
    • C. 
    • D. 
  • 9. 
    2x + √6 y = 2 touches the hyperbola x2 – 2y2 = 4, then the point of contact is: 
    • A. 
    • B. 
    • C. 

      Both a & b

    • D. 

      None of these

  • 10. 
    The eccentricity of hyperbola 3x2 – y2 = 4 is: 
    • A. 

      1

    • B. 

      5

    • C. 

      – 2

    • D. 

      2

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