AB is a chord of the parabola y24axwith vertex at A IfBC is drawn perpendicular to AB meeting the axis at Cthen the projection of BC on the xaxis is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 36

Equation of parabola having its focus at

S (2, 0)

and one extremity of its Latus Rectum as

(2, 2)

is,

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 37

Find the common tangent of the parabola

x^{2} = 4 a y

and

y^{2} = 4 a x (a > 0)

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 38

The locus of mid points of tangents intercepted between the axes of ellipse

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

will be

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 39

Distance between directrices of the hyperbola

x = 8 \sec θ, y = 8 \tan θ

is,

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 40

The equation of the parabola to which the line

m^{2} (y - 10) - m x - 1 = 0

is a tangent for any real value of

m

is

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 41

If

C

is the centre and

A, B

are the two points on the conic

4 x^{2} + 9 y^{2} - 8 x - 36 y + 4 = 0

such that

∠ A C B = \frac{π}{2},

then

C A^{- 2} + C B^{- 2}

is equal to

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 42

If the tangent at the point

P (x_{1}, y_{1})

to the parabola

y^{2} = 4 a x

meets the parabola

y^{2} = 4 a (x + b)

at

Q

and

R,

then the midpoint of

Q R

is

HARD

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 7 - Conic Sections>Exercise 1>Q 43

The normals at three points

P, Q

and

R

of the parabola

y^{2} = 4 a x

meet at

(h, k)

. The centroid of the

Δ P Q R

lies on

$A B$ is a chord of the parabola $y^{2} = 4 a x$ with vertex at $A$ . If $B C$ is drawn perpendicular to $A B$ meeting the axis at $C$ , then the projection of $B C$ on the $x -$ axis is

Important Questions on Conic Sections

Learn and Prepare for any exam you want !

AB is a chord of the parabola y2=4ax with vertex at A. If BC is drawn perpendicular to AB meeting the axis at C, then the projection of BC on the x- axis is

Important Questions on Conic Sections

Learn and Prepare for any exam you want !

$A B$ is a chord of the parabola $y^{2} = 4 a x$ with vertex at $A$ . If $B C$ is drawn perpendicular to $A B$ meeting the axis at $C$ , then the projection of $B C$ on the $x -$ axis is