Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 9

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JEE Main/Advanced

IMPORTANT

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The equation of the latus rectum of the parabola $x^{2} + 4 x + 2 y = 0$ is :

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Important Questions on Parabola

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JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 10

The focus of the parabola

x^{2} - 8 x + 2 y + 7 = 0

is :

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Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 11

The equation of the parabola with focus

(3, 0)

and the directrix

x + 3 = 0

is

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Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 12

Equation of the parabola whose axis is parallel to

y

-axis and which passes through the points

(1, 0), (0, 0)

and

(- 2, 4)

is :

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JEE Main/Advanced

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Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 1

Find the equation of the parabola whose: focus is $(1, 1)$ and the directrix is $x + y + 1 = 0$ .

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JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 2

Find the equation of the parabola, if the focus is at $(- 6, - 6)$ and the vertex is at $(- 2, 2)$ .

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JEE Main/Advanced

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Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 3

Find the vertex, focus, axis and latus rectum of the parabola

4 y^{2} + 12 x - 20 y + 67 = 0

.

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JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 4

Find the name of the conic represented by

\sqrt{(\frac{x}{a})} + \sqrt{(\frac{y}{b})} = 1

.

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Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 5 - Parabola>INTRODUCTORY EXERCISE 5.1>Q 5

Determine the name of the curve described parametrically by the equations

x = t^{2} + t + 1, y = t^{2} - t + 1 .