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Solution of the differential equation ta...

Solution of the differential equation `tan y.sec^(2) x dx + tan x. sec^(2)y dy = 0` is

A

`tanx+tany=k`

B

`tanx-tany=k`

C

`(tanx)/(tany)=k`

D

`tanxtany=k`

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The correct Answer is:
A
Given
`tan y sec^(2)x dx +tan x sec^(2)y dy =0`
`impliesint(sec^(2)x)/(tanx)dx+int(sec^(2)y)/(tany)dy=0`
`implieslogtanx+log tan y=logk`
`implies tan x tan y=k`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 08-PAPER 2 OBJECTIVE TYPE
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  3. The equation of tangent of y^(2)=12x and making an angle (pi)/3 with X...

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  4. If sin(x+3 alpha)=3sin (alpha-x) then

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  7. If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in t...

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  8. If y=sqrt(x+sqrt(x+sqrt(x+ tooo))) , then (dy)/(dx) is equal to.....

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  9. If A=[(2,-1),(-1,2)] and l is the unit matrix of order 2, then A^(2) e...

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  11. The value of f at x =0 so that funcation f(x) = (2^(x) -2^(-x))/x , ...

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  12. Let p and q be two statements. Then, (~p vv q) ^^ (~p ^^ ~q) is a

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  15. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

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  16. The value of a.a' is

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  17. If a plane meets the coordinate axes at A,B and C such that the centro...

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  18. Minimise z=3x+y, subject to 2x+3yle6,x+yge1, xge0,yge0

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  19. A paticle acted on by constant forces 4hati=hatj-3hatk and 3hati+hatj-...

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  20. Solution of the differential equation tan y.sec^(2) x dx + tan x. sec^...

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