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Find the equation of the sphere passing ...

Find the equation of the sphere passing through the points `(3,0,0), (0,-1,0), (0,0,-2)` and whose centre lie on plane `3x +2y+4z = 1`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1

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  2. An urn contains 7 red and 4 blue balls. Two balls are drawn at rand...

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  3. Find the equation of the sphere passing through the points (3,0,0), (0...

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  4. Find the equation of the plane which is perpendicular to the plane ...

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  5. A particle starting with initial velocity of 30 m/sec moves with a u...

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  6. Find the value of lambda which makes the vectors vec a ,\ vec b an...

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  7. A ball projected with a velocity of 28 m/sec has a horizontal range...

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  8. Find the resultant of two velocities 4 m/sec and 6 m/sec inclined to...

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

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

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

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

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

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

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

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

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

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

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

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

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