JEE MATHEMATICS MCQ: ELLIPSE

1 Easy

1 of 1

Application +4 | -1

If any tangent to the ellipse

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

cuts off intercepts of length

h

and

k

on the axes, then find

\frac{a^2}{h^2}+\frac{b^2}{k^2}

View answer and explanation

Correct option: B

Option B (1) is correct because the tangent at any point (a cos θ, b sin θ) to the ellipse cuts off intercepts h and k such that

\frac{{a^2}}{{h^2}} + \frac{{b^2}}{{k^2}} = 1

More Questions from ELLIPSE

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\frac{x^2}{144}+\frac{y^2}{81}=1

m

\mathrm{M}

\mathrm{mM}

P

\frac{{{x^2}}}{{25}} + \frac{{{y^2}}}{{16}} = 1

S

S'.

A

PSS',

A

A

B

(\sqrt{7}, 0)

(-\sqrt{7}, 0)

P

9 x^{2}+16 y^{2}=144

\mathrm{PA}+\mathrm{PB}

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

r

\frac{x^2}{25}+\frac{y^2}{16}=1

P

x=0

Q

R

Q

y=x

Q

R

N P

Q

P

O