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Find the equations of the tangents to the ellipse `2x^2 + 3y^2 = 30`, which are parallel to the straight line x + y + 18 = 0.

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UNITED BOOK HOUSE-SET 13-EXERCISE
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  6. If A and B are tow matrices such that AB =O, can we deduce that eithe...

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  7. (AB)^(-1) = B^(-1)A ^(-1) where A and B are invertible matrices satisf...

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  10. Evaluate: int(log(logx)+1/((logx)^2))dx

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  11. Solve:cos^2x (dy)/(dx) + y= tanx(0 le x le pi/2).

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  12. Prove, by vector method or otherwise, that the point of intersectio...

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  13. Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...

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  14. A candidate is selected for interview for the three posts. For the fir...

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  17. If the sum of the lengths of the hypotenuse and another side of a righ...

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  18. Find the equations of the tangents to the ellipse 2x^2 + 3y^2 = 30, wh...

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  19. Find the foot of the perpendicular drawn from the point (2 hati - hatj...

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  20. Show that the equation of the plane passing through the point (1,2,3) ...

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