If there are exactly two points on the ellipse (x^(2))/(a^(2))+-Turito

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If there are exactly two points on the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ whose distance from its centre is same and is equal to $square root of fraction numerator a to the power of 2 end exponent plus 2 b to the power of 2 end exponent over denominator 2 end fraction end root$ then eccentricity of the ellipse is

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   $\frac{1}{2}$
$\frac{1}{\sqrt{2}}$
$\frac{1}{\sqrt{3}}$
$\frac{1}{2 \sqrt{2}}$

Answer:The correct answer is:
$fraction numerator 1 over denominator square root of 3 end fraction$

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$\frac{1}{2}$
$\frac{1}{\sqrt{2}}$
$\frac{1}{\sqrt{3}}$
$\frac{1}{2 \sqrt{2}}$

Answer:The correct answer is:
$fraction numerator 1 over denominator square root of 3 end fraction$

Book A Free Demo

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If there are exactly two points on the ellipse whose distance from its centre is same and is equal to then eccentricity of the ellipse is

Answer:The correct answer is:

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Answer:The correct answer is:
$fraction numerator 1 over denominator square root of 3 end fraction$

An ellipse slides between two perpendicular straight lines $x equals 0 blank a n d blank Y equals 0$ then, locus of its foci is

An ellipse slides between two perpendicular straight lines $x equals 0 blank a n d blank Y equals 0$ then, locus of its foci is

Let $Q equals left parenthesis 3 comma square root of 5 right parenthesis comma R equals left parenthesis 7 , 3 square root of 5 right parenthesis$ . A point P in the XY-plane varies in such a way that perimeter of $capital delta P Q R$ is 16. Then the maximum area of $capital delta P Q R$ is

Let $Q equals left parenthesis 3 comma square root of 5 right parenthesis comma R equals left parenthesis 7 , 3 square root of 5 right parenthesis$ . A point P in the XY-plane varies in such a way that perimeter of $capital delta P Q R$ is 16. Then the maximum area of $capital delta P Q R$ is

If the tangent at Point P to the ellipse 16x² + 11y² = 256 is also the tangent to the circle x² + y² - 2x = 15, then the eccentric angle of point P is

If the tangent at Point P to the ellipse 16x² + 11y² = 256 is also the tangent to the circle x² + y² - 2x = 15, then the eccentric angle of point P is

If the curve x² + 3y² = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a² is

If the curve x² + 3y² = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a² is

The domain of the function $f left parenthesis x right parenthesis equals l o g subscript 10 end subscript invisible function application left parenthesis square root of x minus 4 end root plus square root of 6 minus x end root right parenthesis$ is

The domain of the function $f left parenthesis x right parenthesis equals l o g subscript 10 end subscript invisible function application left parenthesis square root of x minus 4 end root plus square root of 6 minus x end root right parenthesis$ is