NCERT solution Class 11 conic sections

NCERT Solutions

Class 11 Maths

Conic Sections

NCERT Questions

Ex.11.1
Ex.11.1 Q.2
Ex.11.1 Q.3
Ex.11.1 Q.4
Ex.11.1 Q.5
Ex.11.1 Q.6
Ex.11.1 Q.7
Ex.11.1 Q.8
Ex.11.1 Q.9
Ex.11.1 Q.10
Ex.11.1 Q.11
Ex.11.1 Q.12
Ex.11.1 Q.13
Ex.11.1 Q.14
Ex.11.1 Q.15
Ex.11.2 Q.1
Ex.11.2 Q.2
Ex.11.2 Q.3
Ex.11.2 Q.4
Ex.11.2 Q.5
Ex.11.2 Q.6
Ex.11.2 Q.7
Ex.11.2 Q.8
Ex.11.2 Q.9
Ex.111.2 Q.10
Ex.11.2 Q.11
Ex.11.2 Q.12
Ex.11.3 Q.1
Ex.11.3 Q.1
Ex.11.3 Q.3
Ex.11.3 Q.4
Ex.11.3 Q.5
Ex.11.3 Q.6
Ex.11.3 Q.7
Ex.11.3 Q.8
Ex.11.3 Q.9
Ex.11.3 Q.10
Ex.11.3 Q.11
Ex.11.3 Q.12
Ex.11.3 Q.13
Ex.11.3 Q.14
Ex.11.3 Q.15
Ex.11.3 Q.16
Ex.11.3 Q.17
Ex.11.3 Q.18
Ex.11.3 Q.19
Ex.11.3 Q.20
Ex.11.4 Q.1
Ex.11.4 Q.2
Ex.11.4 Q.3
Ex.11.4 Q.4
Ex.11.4 Q.5
Ex.11.4 Q.6
Ex.11.4 Q.7
Ex.11.4 Q.8
Ex11.4 Q.9
Ex.11.4 Q.10
Ex.11.4 Q.11
Ex.11.4 Q.12
Ex.11.4 Q.13
Ex.11.4 Q.14
Ex.11.4 Q.15
Ex.Misc. Q.1
Ex.Misc. Q.2
Ex.Misc. Q.3
Ex.11.4 Q.4
Ex.Misc. Q.5
Ex.Misc. Q.6
Ex.Misc.Q.7
Ex.Misc.Q.7

Ex.11.3 Q.7

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis,

the eccentricity and the length of the latus rectum of the ellipse 36x² + 4y² = 144.

The given equation is 36x² + 4y² = 144

(36x² ÷ 144) + (4y² ÷ 144) = 1

(x² ÷ 4) + (y² ÷ 36) = 1

(x² ÷ 2²) + (y² ÷ 6²) = 1.

Here, the denominator of y² is greater than the denominator of x².

Therefore, the major axis is along the y-axis, while the minor axis is along the x-axis.

On comparing the given equation with (x² ÷ b²) + (y² ÷ a²) = 1,

we get b = 2 and a = 6

Now, c = √ (a² - b²) = √ (36 - 4) = √32 = 4√2

Therefore,

The coordinates of the foci are (0, 4√2) and (0, -4√2)

The coordinates of the vertices are (0, 6) and (0, –6)

Length of major axis = 2a = 12

Length of minor axis = 2b = 4

Eccentricity, e = = √2 = √2

Length of latus rectum = b² = (2 × 4) ÷ 6 =

Conic Sections Class 11 Maths NCERT Chapter 10 NCERT Solutions

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NCERT solutions of Conic Sections Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Conic Sections NCERT solutions.