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Show that the lines (x+1)/3=(y+3)/5=(z+5...

Show that the lines `(x+1)/3=(y+3)/5=(z+5)/7` and `(x-2)/1=(y-4)/3=(z-6)/5` intersect. Also find the their point of intersection.

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Show that the lines (x+1)/(3)=(y+3)/(5) =(z+5)/(7) " and " (x-2)/(1)=(y-4)/(3)=(z-6)/(5) intersect. Also find their point of intersection.

Show that the lines (x)/(1) =(y-2)/(2)=(z+3)/(3) " and " (x-2)/(2) =(y-6)/(3) =(z-3)/(4) intersect and find their point of intersection.

Do the lines (x+3)/(-4)=(y-4)/1=(z+1)/7 and (x+1)/(-3)=(y-1)/2=(z+10)/8 intersect? If so find the point of intersection.

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Show that the two line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect. Find also the point of intersection of these lines.

Show that the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) " and " (x-4)/(5)=(y-1)/(2)=z intersect each other . Find their point of intersection.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If vec a and vec b are two unit vectors such that vec a+ vec b is a...

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  2. Find the projection of the vector hat i+3 hat j+7 hat k on the vector...

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  3. Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/...

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  4. Find the equations of the tangent and normal to the curve x=asin^3t...

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  5. Evaluate : int(pi/6)^(pi/3)(dx)/(1+sqrt(cotx))

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  6. Show that the semi-vertical angle of the cone of the maximum volume an...

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

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  8. Prove that 2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)(1/8)=pi/4...

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  9. Prove that, for any three vectors vec a , vec b , vec c [ vec a+ v...

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  10. Vector vec a , vec b and vec c are such that vec a+ vec b+ vec c...

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  11. The sum of the perimeters of a circle and a square is k , where k is s...

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  12. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Als...

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  13. Solve for x: 2tan^(-1)(cosx)=tan^(-1)(2cos e cx)

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  14. Using differentials, find the approximate value of (3. 968)^(3/2)

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  15. Write the derivative of sinx w.r.t. cosxdot

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  16. Find : int(sin^2x-cos^2x)/(sin^2xcos^2x)dx

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  17. Write a vector in the direction of the vector hat i-2 hat j+2 hat k t...

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  18. Write the distance of a point P(a ,b ,c) from x-axis.

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  19. If, [xdoty4z+6x+y]=[8w0 6], write the value of (x+y+z)dot

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  20. Write the principal value of cos^(-1)[cos(680^@)]

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