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

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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

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James 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 .

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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