If the normal at any point P on the ellipse a2x2+b2y2=1 meets the axes at Gandg respectively, then find the raio PG:Pg= (a) a:b (b) a2:b2 (c) b:a (d) b2:a2

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

If the normal at any point {P} on the ellipse {{x}^{{2}}}{{a}^

Question

If the normal at any point $P$ on the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ meets the axes at $G and g$ respectively, then find the raio $P G : P g =$ (a) $a : b$ (b) $a^{2} : b^{2}$ (c) $b : a$ (d) $b^{2} : a^{2}$

Views: 868 students

Found 8 tutors discussing this question

Owen Discussed

If the normal at any point

P

on the ellipse

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

meets the axes at

G and g

respectively, then find the raio

P G : P g =

(a)

a : b

(b)

a^{2} : b^{2}

(c)

b : a

(d)

b^{2} : a^{2}

13 mins ago

Discuss this question LIVE

13 mins ago

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text

If the normal at any point

P

on the ellipse

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

meets the axes at

G and g

respectively, then find the raio

P G : P g =

(a)

a : b

(b)

a^{2} : b^{2}

(c)

b : a

(d)

b^{2} : a^{2}

If the normal at any point $P$ on the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ meets the axes at $G and g$ respectively, then find the raio $P G : P g =$ (a) $a : b$ (b) $a^{2} : b^{2}$ (c) $b : a$ (d) $b^{2} : a^{2}$

Filo tutor solution

Practice questions from similar books

If the normal at any point P on the ellipse a2x2​+b2y2​=1 meets the axes at Gandg respectively, then find the raio PG:Pg= (a) a:b (b) a2:b2 (c) b:a (d) b2:a2

Filo tutor solution

Practice questions from similar books

If the normal at any point $P$ on the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ meets the axes at $G and g$ respectively, then find the raio $P G : P g =$ (a) $a : b$ (b) $a^{2} : b^{2}$ (c) $b : a$ (d) $b^{2} : a^{2}$