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Chapter 11: Conic Sections

NCERT Solutions for CBSE Class 10 Mathematics — 9 solved questions with detailed explanations.

9

Questions

0

Topics

Solved Questions

Q1. The eccentricity of a parabola is:

0
1
Less than 1
Greater than 1

Difficulty: Easy · Topic: Eccentricity

Solution

Parabola: e = 1. Ellipse: 0 < e < 1. Hyperbola: e > 1. Circle: e = 0.

Q2. The equation of a circle with centre (2,3) and radius 5 is:

(x-2)²+(y-3)²=25
(x+2)²+(y+3)²=25
(x-2)²+(y-3)²=5
x²+y²=25

Difficulty: Easy · Topic: Circle

Solution

Circle: (x-h)² + (y-k)² = r². Centre (2,3), r=5: (x-2)²+(y-3)²=25.

Q3. The length of the latus rectum of the parabola y² = 8x is:

2
4
8
16

Difficulty: Easy-Medium · Topic: Parabola

Solution

y² = 4ax ⇒ 4a = 8, a = 2. Latus rectum = 4a = 8.

Q4. Standard equation of ellipse is

y² = 4ax
x²/a² + y²/b² = 1
x²/a² - y²/b² = 1
(x-h)²+(y-k)²=r²

Difficulty: Easy-Medium · Topic: Conic Sections

Solution

x²/a² + y²/b² = 1.

Q5. Standard equation of hyperbola is

y² = 4ax
x²/a² + y²/b² = 1
x²/a² - y²/b² = 1
xy = c²

Difficulty: Easy-Medium · Topic: Conic Sections

Solution

x²/a² - y²/b² = 1.

Q6. Eccentricity of circle is

1
< 1
> 1
0

Difficulty: Easy-Medium · Topic: Conic Sections

Solution

0.

Q7. For an ellipse, eccentricity is

greater than 1
equal to 0
equal to 1
between 0 and 1

Difficulty: Easy-Medium · Topic: Conic Sections

Solution

between 0 and 1.

Q8. For a hyperbola, eccentricity is

greater than 1
equal to 0
equal to 1
between 0 and 1

Difficulty: Easy-Medium · Topic: Conic Sections

Solution

greater than 1.

Q9. Focus of parabola y²=4ax is at

(-a,0)
(a,0)
(0,-a)
(0,a)

Difficulty: Easy-Medium · Topic: Conic Sections

Solution

(a,0).

Other Chapters in Mathematics

Ch 1: Sets Ch 2: Relations & Functions Ch 3: Trigonometric Functions Ch 4: Principle of Mathematical Induction Ch 5: Complex Numbers Ch 6: Linear Inequalities Ch 7: Permutations & Combinations Ch 8: Binomial Theorem Ch 9: Sequences & Series Ch 10: Straight Lines Ch 12: Intro to 3D Geometry Ch 13: Limits & Derivatives Ch 14: Mathematical Reasoning Ch 15: Statistics Ch 16: Probability

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