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answer any three questions: (iv) a particle moves along the parabola `y^2=4x` . Find the coordinates of the point on the parabola ,where the rate of increement of abscissa is twice the rate of increement of the ordinate.

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UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2018-EXERCISE
  1. If xsqrt(1+y)+ysqrt(1+x)=0, prove that dy/dx=(-1)/((1+x)^2

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  2. answer any three questions: (iii) if x>0 ,y>0 and xy=25, then find the...

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  3. answer any three questions: (iv) a particle moves along the parabola y...

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  4. verify lagrange's mean value of theorem in the interval 4lexle6 for fu...

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  5. int (e^x (1+x))/(cos^2(xe^x)) dx is

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  6. (d) answer any one question : (i) if the three vectors vec a, vec b, v...

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  7. answer any one question : (ii) find the equation of the plane passing ...

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  8. e) answer any one question : (i) if P(A/B)=0.8 , P(B/A)=0.6 and P(A^c ...

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  9. answer any one question : (ii) an unbiased coin is tossed 6 times . Us...

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  10. A relation R is defined on the set of natural numbers N as follows: R=...

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  11. answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...

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  12. (b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...

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  13. if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.

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  14. answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...

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  15. or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...

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  16. answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx

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  17. or, evaluate :int dx/(cos x+sqrt 3 sin x)

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  18. answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , giv...

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  19. or , solve:(1-x^2) dy/dx - xy=1 .

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  20. (d) answer any one question : (i) if three vectors vec a, vec b and ve...

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