MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 8

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IMPORTANT

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The equation of the directrix of the parabola whose vertex and focus are $(1, 4)$ and $(2, 6)$ respectively is

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Important Questions on Parabola

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 9

If

V

and

S

are respectively the vertex and focus of the parabola

y^{2} + 6 y + 2 x + 5 = 0,

then

S V =

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MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 10

The directrix of the parabola

x^{2} - 4 x - 8 y + 12 = 0

is

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MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 11

The equation of the parabola with focus

(0, 0)

and directrix

x + y = 4

is

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 12

The line

2 x - y + 4 = 0

cuts the parabola

y^{2} = 8 x

in

P

and

Q .

The mid-point of

P Q

is

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 13

In the parabola

y^{2} = 4 a x,

the length of the chord passing through the vertex and inclined to the axis at

\frac{π}{4}

is

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IMPORTANT

MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14

The equation

16 x^{2} + y^{2} + 8 x y - 74 x - 78 y + 212 = 0

represents

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MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

The length of the latus-rectum of the parabola

y^{2} + 8 x - 2 y + 17 = 0

is

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 25 - Parabola>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16

The vertex of the parabola

x^{2} + 8 x + 12 y + 4 = 0

is