Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Given : A circle, {2}{x}^{{2}}+{}{2}{y}^{{2}}={}{5}and a parab

Question

Given : A circle, $2 x^{2} + 2 y^{2} = 5$ and a parabola, $y^{2} = 45 x$ .Statement - I : An equation of a common tangent to these curves is $y = x+ 5$ Statement - II : If the line, $y = m x + \frac{5}{m} (m \neq = 0)$ is their common tangent, then m satisfies $m^{4} - 3 m^{2} + 2 = 0 .$

Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I

Statement -I is True; Statement -II is False.

Statement -I is False; Statement -II is True

Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I

Views: 1,587 students

Found 8 tutors discussing this question

Eleanor Discussed

Given : A circle,

2 x^{2} + 2 y^{2} = 5

and a parabola,

y^{2} = 45 x

.Statement - I : An equation of a common tangent to these curves is

y = x+ 5

Statement - II : If the line,

y = m x + \frac{5}{m} (m \neq = 0)

is their common tangent, then m satisfies

m^{4} - 3 m^{2} + 2 = 0 .

13 mins ago

Discuss this question LIVE

13 mins ago

Filo tutor solutions (1)

Learn from their 1-to-1 discussion with Filo tutors.

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Was this solution helpful?

154

Report

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 maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Given : A circle, $2 x^{2} + 2 y^{2} = 5$ and a parabola, $y^{2} = 45 x$ .Statement - I : An equation of a common tangent to these curves is $y = x+ 5$ Statement - II : If the line, $y = m x + \frac{5}{m} (m \neq = 0)$ is their common tangent, then m satisfies $m^{4} - 3 m^{2} + 2 = 0 .$
Answer Type	Video solution: 1
Upvotes	154