JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

If the normals at

P\left(x_1, y_1\right), Q\left(x_2, y_2\right)

and

R\left(x_3, y_3\right)

to the ellipse are concurrent, then

View answer and explanation

Correct option: B

\left|\begin{array}{lll}x_1 & y_1 & x_1 y_1 \\ x_2 & y_2 & x_2 y_2 \\ x_3 & y_3 & x_3 y_3\end{array}\right|=0

Option B (

\left|\begin{array}{lll}x_1 & y_1 & x_1 y_1 \\ x_2 & y_2 & x_2 y_2 \\ x_3 & y_3 & x_3 y_3\end{array}\right|=0

) is correct because it represents the condition for concurrency of normals at three points on the ellipse.

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