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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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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 lines (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-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other

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.

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

Show that the lines (x+3)/(-3) = y - 1 = (z-5)/(5) and (x+1)/(-1) = (y-2)/(2) = (z-5)/(5) are coplanar. Also find their point of intersection.

Show that the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/7 and (x-1)/(2) =(y+1)/(-3)=(z+10)/(8) intersect. Find the coordinates of their point of intersection.

Show that the line (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2 intersect. Find their point of intersection.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-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. underset(pi/12)overset(pi/2)int(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. cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...

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  8. सिद्ध कीजिए कि 2 tan^(-1)""(1)/(5)+sec^(-1)""(5sqrt(2))/(7)+2tan^...

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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)(2\ cos e c\ x)

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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^8x-cos^8x)/(1-2sin^2xcos^2x)dx

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

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

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  19. If [x y4z+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(680^0)]dot

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