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On the ellipse 4x^(2)+9y^(2)=1, the poin...

On the ellipse `4x^(2)+9y^(2)=1`, the points at which the tangent are parallel to the line `8x=9y` are

A

`(2//5, 1//5)`

B

`(-2//5, 1//5)`

C

`(-2//5, -1//5)`

D

None of these.

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The correct Answer is:
B
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MODERN PUBLICATION-UNIT TEST PAPER NO. 2 (GEOMETRIES)-Select the correct answer
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  2. A variable circle passes through the fixed point A(p, q) and touches x...

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  3. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangent are pa...

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  4. Which one of the following is independent of alpha in the hyperbola (0...

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  6. Area of the triangle with vertices (a, b ), (x(1), y(1)) and (x(2), y(...

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  7. ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines ...

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  8. The lines joining the origin to the points of intersection of the curv...

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  9. Range of volues of m for which the st. line y=mx+2 cuts the circle x^(...

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  10. The abscissae of two points P and Q are the roots of the equation x^(2...

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  11. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

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  12. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

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  13. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

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  14. The radius of the circle passing through the foci of the ellipse (x^(2...

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  15. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

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  16. The points representing root3(5+isqrt(3)) lie.

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  17. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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

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  19. A ray of light coming along the line 3x+4y-5=0 gets reflected from th...

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  20. If P and Q are two points on the circle : x^(2)+y^(2)-4x-4y-1=0, whi...

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