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All India - 2019
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Q20 of 52 Page 1

Find: .

Let


Substitute sin x = t


⇒ cos dx = dt




Hence,







Since t = sin x, therefore:



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18

If y=(sin-1x)2, prove that .

19

Prove that , hence evaluate .

21

Solve the differential equation: .

Or


Solve the differential equation: ;y(0)=0.


22

If and respectively are the position vectors of points A, B, C and D, then find the angle between the straight lines and . Find whether and are collinear or not.

Questions · 52
All India - 2019
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