Mathematics · JEE

Important Questions: Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms for JEE

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Q1MathsUnit 10: Co-ordinate Geometry

Arrange in the descending order of the values: A: If (9,12) is one end of a focal chord of the parabola

y^{2}=16 x

then the slope of it is B: The parabola

x^{2}=p y

passes through

(12,16),

the focal distance of the point is C: If the parabola

y^{2}=k x

passes through (9,6) then the value of

k

is D: The Ordinate of the point on the parabola

\boldsymbol{y}^{2}=\mathbf{3 6 x}

whose ordinate is three times its abscissa is Write the value of the above statements in the descending order

Q2MathsUnit 10: Co-ordinate Geometry

if the distance between the foci is equal to the length of the latus-rectum. Find the eccentricity of the ellipse.

Q3MathsUnit 10: Co-ordinate Geometry

The sum of the focal distances of a point on the ellipse

\frac{x^{2}}{4}+\frac{y^{2}}{9}=1

is:

Q4MathsUnit 10: Co-ordinate Geometry

Triangle

A B C

is inscribed in the parabola described by the equation

y^{2}-6 x-4 y+10=0

so that

A

is the vertex of the parabola and

B

and

C

are the end points of the latus rectum of the parabola. The area of triangle

A B C

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