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If (x+4)y=x.then show that x dy/dx+y(y-1...

If (x+4)y=x.then show that x dy/dx+y(y-1)=0.

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2017-EXERCISE
  1. Find the co-ordinates of the point lies on the plane YOZ which is equi...

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  2. Evaluate :lim(xrarr0)(cos5x-cos7x)/(cosx-cos5x)

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  3. If (x+4)y=x.then show that x dy/dx+y(y-1)=0.

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  4. If a coin is tossed 3 times in succession,then find the probability of...

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  5. The standard deviation of 32 numbers is 5.If the sum of the numbers is...

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  6. For any three sets A,B and C ,prove that A-(BcupC)=(A-B)cap(A-C).

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  7. If sin^4alpha/a+cos^4alpha/b=1/(a+b),then show that sin^8alpha/a^3+cos...

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  8. If for a triangle ABC , cot A+cotB+cotC=sqrt3,then show that the trian...

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  9. If n in N,then prove by mathematical induction that 7^(2n)+2^3(n-1).3^...

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  10. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

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  11. How many odd numbers of fve digits can be formed with the digits 3,6,7...

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  12. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

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  13. If the ratio the sum of 1st n terms of two arithemtic series is (4n-13...

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  14. Find the equations of the lines passing thorugh the point (4,5)making ...

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  15. If the equation of the side BC of an equilateral triangle ABC is x+y=2...

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  16. A circle in the first quadrant touches both the axes its centre lies o...

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  17. Evaluate:underset(x rarr 0)(lim)((e^(x)-1)log(1+x))/(sin^(2)x)

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  18. Find from the first principle,the derivative of f(x)=sec2xat x=pi/8.

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  19. Prove by method of contradiction that sqrt5is an irrational number

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  20. Prove that truth table ~(pvq)=~p~q.

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