Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 2

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$F_{1}$ and $F_{2}$ are two fixed points in a plane. If a point $P (x, y)$ moves in the plane such that $F_{1} P + F_{2} P = 15$ units always, then the locus of the point is

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Important Questions on Conic Sections

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IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 3

The focus of the parabola is

(0, - 3)

and its directrix is

y = 3,

then its equation is

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Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 4

Foci of the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

with

a > b

, are the points

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Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 5

If

x^{2} + y^{2} + p x + q y = 0

is the equation of a circle with centre

(- 1, 2)

and radius

\sqrt{5}

, then the values of

p

and

q

are

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Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 6

The radius of the circle which touches both the lines

3 x + 4 y + 9 = 0

and

6 x + 8 y - 7 = 0

is

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Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 7

If the parabola

y^{2} = 4 a x

passes through the point

(3, 8)

, then the length of the latus rectum is

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Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 8

The slope of the line joining the foci of the parabola

y^{2} = 4 a x

and

x^{2} = 4 a y

is

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Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 9

(3, 4)

is one extremity of a diameter of the circle

x^{2} + y^{2} + 2 x - 4 y - 15 = 0

, then the coordinate of the other extremity is

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Golden MATHEMATICS CLASS 11>Chapter 11 - Conic Sections>OBJECTIVE TYPE QUESTIONS>Q 10

A chord of

y^{2} = 4 a x

is such that it passes through the vertex and makes an angle of

45^{o}

with the axis. The length of the chord is