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Prove that the line through A(0,1,1) and...

Prove that the line through `A(0,1,1)` and `B(4,5,1)` intersects the line through `C(3,9,4)` and `D(4,4,4)` .

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Prove that the lines through A(0,-1,-1) and B(4,5,1) intersecrs the line through C(3,9,2) and D(-4,4,4). Also,find their point of intersection.

Show that the line through points (4,7,8) and 2,3,4 ) is parallel to the line through the points (-1,-2,1) and (1,2,5) .

Find the value of p for which the line through the points A(4,1,2) and B(5,p,0) is perpendicular to the line through the points C(2,1,1) and D(3,3,-1) .

Find the equation of the line passing through (2,1,-2) and (5,3,4) and of the plane passing through (2,0,3) , (1,1,5) and (3,2,4) . Also find their point of intersection.

Show that the line through the points (1,-1,2),(3,4,-2) is perpendicular to the line through the points (0,3,2) and (3,5,6)

Show that the line through the points (1,-1,2) and (3,4-2) is perpendicular to the line through the points (0,3,2) and (3,5,6).

Show that the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (3,-3) and (5,-9).

Show that the line through the point (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (-1, -2, 1) and (1, 2, 5).

Find the coordinates of the point where the line through (3,-4,-5) and (2,-3,1) crosses the plane passing through the points (2,2,1),(3,0,1) and (4,-1,0).

Show that the line thorugh the points (4,7,8) and (2,3,4) is parallel to the line through the points (-1,-2,1) and (1,2,5) .

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using integration find the area of the region bounded by the curves y=...

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  2. If f,g:R->R be two functions defined as f(x)=|x|+x and g(x)=|x|-x. Fi...

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  3. In order to supplement daily diet, a person wishes to take X and Y ...

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  4. Bag A contains 3 red and 5 black balls, while bag B contains 4 red and...

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  5. Find the equation of the plane which contains the line of intersection...

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  6. Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

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  7. Prove that : cot^(-1)(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1...

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  8. Evaluate: int((x^2+1)(x^2+4))/((x^2+3)(x^2-5))\ dx

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  9. Find : int(2x+5)sqrt(10-4x-3x^2)dx

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  10. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

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  11. The sum of the surface areas of a cuboid with sides x ,2x and x/3 and ...

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  12. Prove that the line through A(0,1,1) and B(4,5,1) intersects the line ...

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  13. Solve the following differential equation : (cot^(-1)y+x)dy=(1+y^2)dx

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  14. If vec ax vec b= vec cx vec d and vec ax vec c= vec bx vec d , show ...

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  15. Find : int(xsin^(-1)x)/(sqrt(1-x^2))dx

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  16. Solve the following differential equation : y^2dx+(x^2-x y+y^2)dy=0

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  17. Evaluate : int0^pix/(1+sinalphasinx)dx

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  18. A box has 20 pens of which 2 are defective. Calculate the probability ...

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  19. Let, X denote the number of colleges where you will apply after your ...

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  20. Find the angle of intersection of the curves y^2=4a x and x^2=4b ydot

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