JEE Main Mathematics: Co-ordinate Geometry Quiz!

10 Questions | By Jagranjosh | Updated: Mar 18, 2022 | Attempts: 110

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JEE Main Mathematics: Co-ordinate Geometry Quiz! - 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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