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The equation of the locus of the middle ...

The equation of the locus of the middle point of the portion of the tangent to the ellipse `x^(2)/16+y^2/9=1` included between the co-ordinate axes is the curve

A

`9x^(2)+16y^(2)=4x^(2)y^(2)`

B

`16x^(2)+9y^(2)=4x^(2)y^(2)`

C

`3x^(2)+4y^(2)=4x^(2)y^(2)`

D

`9x^(2)+16y^(2)=x^(2)y^(2)`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
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  7. Find the derivative of x^(2)/2 + x + 1

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  8. Find the derivative of secx + cosecx

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  9. Find the derivative of cos(x - pi/8)

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  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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  12. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

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  13. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

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  14. A circle has the same center as an ellipse and passes through the foci...

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  15. The area of the rectangle formed by the perpendiculars from the centre...

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  16. An ellipse is inscribed in a circle and a point within the circle is c...

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  17. An ellipse slides between two perpendicular straight lines. Then id...

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  18. If one of the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+2bx+c=0 lies w...

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  19. The equation of the locus of the middle point of the portion of the ta...

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  20. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

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