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Let `'theta'` be the angle in radians between the curves `(x ^(2))/(36) + (y^(2))/(4) =1 and x ^(2) +y^(2) =12.` If `theta = tan ^(-1) ((a )/(sqrt3)),` Find the value of a.

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VK JAISWAL-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  2. Let f (x)= {{:( xe ^(ax)"," , x le 0),( x+ ax ^(2)-x ^(3)"," , x gt 0)...

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  3. Find sum of all possible values of the real parameter 'b' is the diffe...

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  4. Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...

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  7. There is a point (p,q) on the graph of f(x)=x^2 and a point (r , s) on...

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  8. f (x)= max |2 sin y-x| where y in R then determine the minimum value o...

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  9. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

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  12. The least positive integral value of 'k' for which there exists at lea...

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  13. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

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  14. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

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  15. If f (x) is continous and differentiable in [3,9) and f'(x) in [-2,8] ...

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  16. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

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  17. The number of normals to the curve 3y ^(3) =4x which passes through th...

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  18. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

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  19. Let f (x) = ax+cos 2x +sin x+ cos x is defined for AA x in R and a in...

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  20. If p (1) and p(2) are the lengths of the perpendiculars from origin on...

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