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Prove that the curves y^2=4x and x^2=4y ...

Prove that the curves `y^2=4x` and `x^2=4y` divide the area of square bounded by `x=0,x=4,y=4` and `y=0` into three equal parts.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If the sum of lengths of hypotenuse and a side of a right angled tr...

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  2. Find the position vector of the foot of perpendicular and the perpe...

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  3. Prove that the curves y^2=4x and x^2=4y divide the area of square b...

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  4. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  5. Evaluate : int0^(pi/2)(sin^2x)/(sin x+cos x)dx

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  6. In a game, a man wins Rs. 5 for getting a number greater than 4 and ...

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  7. An urn contains 4 balls. Two balls are drawn at random from the urn...

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  8. There are two types of fertilisers A and B. A consists of 12% nitro...

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  9. Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

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  10. Five bad oranges are accidently mixed with 20 good ones. If four or...

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  11. Use elementary column operation C2->C2+2C1 in the following matrix equ...

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  12. Write the number of all possible matrices of order 2xx2 with each ent...

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  13. If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of x

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  14. Find the vector equation of the plane with intercepts 3,-4 and 2 on x ...

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  15. Find the coordinates of the point where the line through the points A(...

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  16. Find the position vector of a point which divides the join of points w...

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  17. Write the number of vectors of unit length perpendicular to both the ...

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  18. The two adjacent sides of a parallelogram are 2 hat i-4 hat j-5 hat k ...

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  19. Show that the binary operation * on A=R-{-1} defined as a*b=a+b+a b fo...

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  20. Using integration find the area of the region "{"(x , y")":x^2+y^2lt=2...

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