JEE Main Mathematics: Co-ordinate Geometry Quiz!
10 Questions
| Total Attempts: 52
(199).jpg "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.
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- C.
![]()
- D.
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- 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?
- ProProfs]( "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?")
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) - ProProfs]( "The line y = x meets y = k at: (Given k ≤ 0)")
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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