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If the chord through the points whose eccentric angles are and on the ellipse =1 passes through the focus (ae, 0), then the value of tan tan = 0 is –



 None of these
The correct answer is:
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If the chord joining two points whose eccentric angles are and cuts the major axis of an ellipse + = 1 at a distance c from the centre, then tan . tan is equal to
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P(a cos, b sin) is any point on the ellipse + = 1 Now if this ellipse is rotated anticlockwise by 90º and P reaches then coordinate of are 
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Normal to the ellipse intersects the major and minor axis at P and Q respectively then locus of the point dividing segment PQ in 2 : 1 is 
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Given graph gives variation of with P for 1gm of oxygen at two different temperatures T_{1} and T_{2}. If density of oxygen The value of at point A and relation
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Legume plants are important for crop production because they :
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The limiting value of (cos x)^{1/sin x} as x → 0 is :
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Let f : R → R be a differentiable function satisfying f (x) = f (x – y) f (y) " x, y Î R and f ¢ (0) = a, f ¢ (2) = b then f ¢ (2) is
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A thin equiconvex lens of refractive index 3/2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4/3. It is found that when a point object is placed 15 cm above the lens on its principal axis, the object coincides with its own image. If another liquid is filled instead of water, the object and the image coincide at a distance 25 cm from the lens. Calculate the refractive index of the liquid
A thin equiconvex lens of refractive index 3/2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4/3. It is found that when a point object is placed 15 cm above the lens on its principal axis, the object coincides with its own image. If another liquid is filled instead of water, the object and the image coincide at a distance 25 cm from the lens. Calculate the refractive index of the liquid
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A thin equiconvex lens of refractive index 3/2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4/3. It is found that when a point object is placed 15 cm above the lens on its principal axis, the object coincides with its own image. The radius of curvature of the convex surface is
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A glass shere of radius 2R and refractive index ‘n’ has a spherical. When viewer is on right side of the hollow sphere, what will be the apparent change in position of the object?
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A glass shere of radius 2R and refractive index ‘n’ has a spherical. When viewer is on left side of the hollow sphere, what will be the shift in position of the object?
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Consider the situation in the figure. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is m. At what distance from itself will the eye see the image of the fish by observing from the mirror?
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Consider the situation in the figure. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is m. At what distance from it self will the eye see the image of the fish upon direct observation?
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