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Free download in PDF Class 11 Maths Chapter 11 Conic Sections Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>
(1)
If a parabolic reflector is 20 cm in diameter and 5 cm deep then the focus of parabolic reflector is
[A]
(0 0)
[B]
(0, 5)
[C]
(5, 0)
[D]
(5, 5)
(2)
If the length of the tangent from the origin to the circle centered at (2, 3) is 2 then the equation of the circle is
[A]
(x + 2)² + (y – 3)² = 3²
[B]
(x – 2)² + (y + 3)² = 3²
[C]
(x – 2)² + (y – 3)² = 3²
[D]
(x + 2)² + (y + 3)² = 3²
Answer: (x – 2)² + (y – 3)² = 3²
(3)
The center of the ellipse (x + y – 2)² /9 + (x – y)² /16 = 1 is
[A]
(0, 0)
[B]
(0, 1)
[C]
(1, 0)
[D]
(1, 1)
(4)
The number of tangents that can be drawn from (1, 2) to x² + y² = 5 is
[A]
0
[B]
1
[C]
2
[D]
More than 2
(5)
The equation of parabola with vertex (-2, 1) and focus (-2, 4) is
[A]
10y = x² + 4x + 16
[B]
12y = x² + 4x + 16
[C]
12y = x² + 4x
[D]
12y = x² + 4x + 8
Answer: 12y = x² + 4x + 16
(6)
The parametric coordinate of any point of the parabola y² = 4ax is
[A]
(-at², -2at)
[B]
(-at², 2at)
[C]
(a sin²t, -2a sin t)
[D]
(a sin t, -2a sin t)
Answer: (a sin²t, -2a sin t)
(7)
If (a, b) is the mid point of a chord passing through the vertex of the parabola y² = 4x, then
[A]
a = 2b
[B]
2a = b
[C]
a² = 2b
[D]
2a = b²
(8)
A man running a race course notes that the sum of the distances from the two flag posts from him is always 10 meter and the distance between the flag posts is 8 meter. The equation of posts traced by the man is
[A]
x²/9 + y²/5 = 1
[B]
x²/9 + y2 /25 = 1
[C]
x²/5 + y²/9 = 1
[D]
x²/25 + y²/9 = 1
(9)
The radius of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?
[A]
√57/4
[B]
√77/4
[C]
√77/2
[D]
√87/4
(10)
The locus of the point from which the tangent to the circles x² + y² – 4 = 0 and x² + y² – 8x + 15 = 0 are equal is given by the equation
[A]
8x + 19 = 0
[B]
8x – 19 = 0
[C]
4x – 19 = 0
[D]
4x + 19 = 0
(11)
The equation of a hyperbola with foci on the x-axis is
[A]
x²/a² + y²/b² = 1
[B]
x²/a² – y²/b² = 1
[C]
x² + y² = (a² + b²)
[D]
x² – y² = (a² + b²)
Answer: x²/a² – y²/b² = 1
(12)
At what point of the parabola x² = 9y is the abscissa three times that of ordinate
[A]
(1, 1)
[B]
(3, 1)
[C]
(-3, 1)
[D]
(-3, -3)
(13)
The center of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?
[A]
(2,-3)
[B]
(-2,3)
[C]
(-4,6)
[D]
(4,-6)
(14)
The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is
[A]
y² = 9x
[B]
y² = 9x/2
[C]
y² = 2x
[D]
y² = 2x/9
(15)
In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is
[A]
4/5
[B]
1/√52
[C]
3/5
[D]
1/2
(16)
The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0
(17)
The equation of parabola whose focus is (3, 0) and directrix is 3x + 4y = 1 is
[A]
16x² – 9y² – 24xy – 144x + 8y + 224 = 0
[B]
16x² + 9y² – 24xy – 144x + 8y – 224 = 0
[C]
16x² + 9y² – 24xy – 144x – 8y + 224 = 0
[D]
16x² + 9y² – 24xy – 144x + 8y + 224 = 0
Answer: 16x² + 9y² – 24xy – 144x + 8y + 224 = 0
(18)
The parametric representation (2 + t², 2t + 1) represents
[A]
a parabola
[B]
a hyperbola
[C]
an ellipse
[D]
a circle
(19)
A rod of length 12 CM moves with its and always touching the co-ordinate Axes. Then the equation of the locus of a point P on the road which is 3 cm from the end in contact with the x-axis is
[A]
x²/81 + y²/9 = 1
[B]
x²/9 + y²/81 = 1
[C]
x²/169 + y²/9 = 1
[D]
x²/9 + y²/169 = 1
(20)
The line lx + my + n = 0 will touches the parabola y² = 4ax if
[A]
ln = am²
[B]
ln = am
[C]
ln = a² m²
[D]
ln = a² m
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