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Find the point on the curve x^2=8y wh...

Find the point on the curve `x^2=8y` which is nearest to the point `(2,\ 4)` .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the resultant of two velocities 4 m/sec and 6 m/sec inclined to...

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  2. Show that a right circular cone of least curved surface and given vo...

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  3. Find the point on the curve x^2=8y which is nearest to the point...

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  4. Solve the following differential equation : (dy)/(dx)+2y=6e^x

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  5. Form the differential equation of the family of curves y=Acos2x+Bsi...

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  6. Using matrices, solve the following system of linear equations: 2"x...

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  7. Verify Lagranges mean value theorem for the following function: "...

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  8. Discuss the continuity of the following function at x = 0 : "f"("...

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  9. Solve the following differential equation: "x"("dy")/("dx")+"y"="x"lo...

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  10. Show that: int0^(pi/2) "sqrt(tanx) +sqrt(cotx)=sqrt(2)pi

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  11. Prove that the curves "x"="y"^2 and "x y"="k" intersect at right ang...

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  12. Using properties of determinants, prove that following |(a+b+2c,a,b),(...

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  13. If |[x+2, 3],[x+5, 4]|=3 , find the value of x

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  14. Show that the points (1,0), (6,0), (0,0) are collinear.

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  15. If "f"("x")=sqrt((sec"x"-1)/(secx+1))" " find "f '"("x")dot Also fin...

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  16. If xsqrt(1+y)+ysqrt(1+x)=0, find ("dy")/("dx") . To prove (dy)/(dx)=...

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  17. Show that the semi vertical angle of a right circular cone of given ...

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  18. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

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  19. If "f"("x") is an invertible function, find the inverse of "f"("x")...

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  20. If [[(x+3y),y],[7-x,4]]=[(4,-1),(0,1)], find the values of x and y.

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