JEE Main Mathematics: Co-ordinate Geometry Quiz!

10 Questions | Total Attempts: 52

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JEE Main Mathematics: Co-ordinate Geometry Quiz!

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Questions and Answers
  • 1. 
    If a, b, c are related by 9a2 + 16b2 – 16c2 + 24ab = 0then the greatest distance between any two lines of the family of lines ax + by + c = 0 is:  
    • A. 

      4/3

    • B. 
    • C. 
    • D. 
  • 2. 
    If a1, a2, a3 as well as b1, b2, b3 are in G.P. with the same common ratio, then the points (a1, b1), (a2, b2) and (a3, b3):  
    • A. 

      Are vertices of a triangle

    • B. 

      Lie on parabola

    • C. 

      Lie on a circle

    • D. 

      Lie on a straight line

  • 3. 
    What will be the equation of the straight line passing from the point (–3, 5) and making intercept of length between the lines x + 3y +1 = 0 and x + 3y – 1 = 0?  
    • A. 

      X + 2 = 0

    • B. 

      3x – y + 13 = 0

    • C. 

      3x + 4y =18

    • D. 

      4x + 3y = 12

  • 4. 
    The line y = x meets y = k at: (Given k ≤ 0) 
    • A. 

      One point

    • B. 

      Two points

    • C. 

      Three points

    • D. 

      Zero points

  • 5. 
    The angle between the pair of straight lines y2sin2θ – xysin2θ + x2 (cos2θ – 1) = 0 is: 
    • A. 
    • B. 
    • C. 
    • D. 
  • 6. 
    The equation: x2y2 – 2xy2 – 3y2 – 4x2y + 8xy + 12y = 0; represents: 
    • A. 

      A pair of lines

    • B. 

      A circle and pair of lines

    • C. 

      Four lines

    • D. 

      None of these

  • 7. 
    Circles x2 + y2 + 2ax + c = 0 and circle x2 +y2 +2by + c = 0, touches each other then which of the following is correct? 
    • A. 

      1/a + 1/b = 1/c

    • B. 
    • C. 
    • D. 
  • 8. 
    The number of common tangents to the circle x2 + y2 – 4 = 0 and x2 + y2 – 6x – 8y – 24 = 0 is: 
    • A. 

      0

    • B. 

      1

    • C. 

      3

    • D. 

  • 9. 
    If the two circles x2 + y2 = r2 and x2 + y2 – 10x + 16 = 0 intersect each other at some real and distinct points then which of the following is true? 
    • A. 

      2 < r < 8

    • B. 

      R = 2

    • C. 

      R < 3

    • D. 

      R > 5

  • 10. 
    Lines x2 – 8x + 12 = 0 and y2 – 14y + 45 = 0 form a square. What will be the center of the circle inscribed in the square?  
    • A. 

      (4, 3)

    • B. 

      (3, 4)

    • C. 

      (4, 7)

    • D. 

      (7, 4)

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