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CBSE Class 11 Mathematics Worksheet (13)

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Arts

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Academic year: 2022/2023
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BAL BHARATI PUBLIC SCHOOL

Ganga Ram Hospital Marg, New Delhi-

CLASS –XI SUBJECT – MATHEMATICS

ASSIGNMENT- 13 TOPIC – CONIC SECTION

Q1. Find the equation of circle passing through pt (2, 4) and centre at the intersection of the line x – y = 4 and 2x + 3y = -7.

Q2. Find the centre and radius of each of the following circle:- (a) x 2 + y 2 + 8x + 10y – 8 = 0

(b) x 2 + y 2 – x + 2y – 3 = 0 (c) 3x 2 + 3y 2 + 12x – 18y -11 = 0

Q3. Find the equation of the circle passing through the points (2, 3) and (-1, 1) and whose centre is on the line x - 3y – 11 = 0.

Q4. Find the equation of the circle concentric with the circle x 2 + y 2 + 4x + 6y + 11 = 0 and passing through the point (5, 4).

Q5. If a parabolic reflector is 18 cm in diameter and 56 cm deep, find the latus rectum. Find the depth when

diameter is 12 cm. Also find the diameter when depth is 2 cm. (13 cm,

3

8

cm 6 3 cm)

Q6. Find the equation of parabola which is symmetric about the y axis and passes through the point (-2, -3).

Q7. For each of the following parabolas, find the co-ordinates of the focus, axis, the equation of the directric and the length of latus rectum (i) 2y 2 = 7x (ii) x 2 = -12y (iii) y 2 + 2x = 0

Q8. For each of the following ellipses, find the coordinator of the foci, the vertices the length of major axis, the minor axis the eccentricity and the length of the latus rectum :-

(i) 16x 2 + 25y 2 = 400 (ii)

4

x 2

+

25

y 2

= 1 (iii) 4x 2 + 9y 2 =

Q9. Find the equation of ellipse whose foci are (+4, 0) and the eccentricity is 3

1

Q10. In each of the following hyperbolas, find the coordinates of the vertices and the foci, the eccentricity, the lengths of the axes and the latus rectum: - (i) x 2 – 4y 2 = 4 (ii) 49y 2 – 16x 2 = 784 (iii) 9

y 2 - 27

x 2 =

Q11. Prove that eccentricity of the hyperbola x 2 – 4y 2 = 100 is 2

5

Q12. Find the equation of hyperbola whose foci are (+ 4, 0) and length of latus rectum is 12.

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CBSE Class 11 Mathematics Worksheet (13)

Subject: Arts

5 Documents
Students shared 5 documents in this course

School: Airport Senior Secondary School

Was this document helpful?
BAL BHARATI PUBLIC SCHOOL
Ganga Ram Hospital Marg, New Delhi-60
CLASS –XI SUBJECT – MATHEMATICS
ASSIGNMENT- 13 TOPIC – CONIC SECTION
Q1. Find the equation of circle passing through pt (2, 4) and centre at the intersection of the line x – y = 4 and
2x + 3y = -7.
Q2. Find the centre and radius of each of the following circle:-
(a) x2 + y2 + 8x + 10y – 8 = 0
(b) x2 + y2 – x + 2y – 3 = 0
(c) 3x2 + 3y2 + 12x – 18y -11 = 0
Q3. Find the equation of the circle passing through the points (2, 3) and (-1, 1) and whose centre is on the line x
– 3y – 11 = 0.
Q4. Find the equation of the circle concentric with the circle x2 + y2 + 4x + 6y + 11 = 0 and passing through the
point (5, 4).
Q5. If a parabolic reflector is 18 cm in diameter and 56 cm deep, find the latus rectum. Find the depth when
diameter is 12 cm. Also find the diameter when depth is 2 cm. (13.5 cm,
3
8cm 6 3 cm)
Q6. Find the equation of parabola which is symmetric about the y axis and passes through the point (-2, -3).
Q7. For each of the following parabolas, find the co-ordinates of the focus, axis, the equation of the directric
and the length of latus rectum (i) 2y2 = 7x (ii) x2 = -12y (iii) y2 + 2x = 0
Q8. For each of the following ellipses, find the coordinator of the foci, the vertices the length of major axis, the
minor axis the eccentricity and the length of the latus rectum :-
(i) 16x2 + 25y2 = 400 (ii)
4
2
x +
25
2
y= 1 (iii) 4x2 + 9y2 =1
Q9. Find the equation of ellipse whose foci are (+4, 0) and the eccentricity is
3
1
Q10. In each of the following hyperbolas, find the coordinates of the vertices and the foci, the eccentricity, the
lengths of the axes and the latus rectum: - (i) x2 – 4y2 = 4 (ii) 49y2 – 16x2 = 784
(iii)
9
2
y -
27
2
x =1
Q11. Prove that eccentricity of the hyperbola x2 – 4y2 = 100 is
2
5
Q12. Find the equation of hyperbola whose foci are (+ 4, 0) and length of latus rectum is 12.
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