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Find the equation of the line passing through (-3, 5) and perpendicular to the line through the points (2, 5) and (-3, 6).

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Find the equation of a line passing through (4,5) and perpendicular to the line 2x + 3y=5.

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.

Find the equation of the plane passing through the points (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5), Also, find the perpendicular distance of the plane from the origin.

Find the equation of the plane passing through the point A(1, 2, 1) and perpendicular to the line joining the points P(1, 4, 2) and Q(2, 3, 5). Also, find the distance of this plane from the line (x+3)/(2)=(y-5)/(-1)=(z-7)/(-1)

Find the equation of the line through point (5,-2) and perpendicular to line 2x+3y-7=0.

Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the equation of the line passing through the point (-1,3,-2) and perpendicular to the lines : x/1=y/2=z/3 and (x+2)/-3=(y-1)/2=(z+1)/5 .

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the equation of a line that is perpendicular to 3x + 2y = 8 and p...

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  2. Find the equation of the right-bisector of the line segment joining th...

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  3. Find the equation of the line passing through (-3, 5) and perpendicula...

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  4. Find the equation of the line, which is perpendicular to 5x- 2y = 7 an...

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  5. Find the equation of a st. line drawn at right angles to the st. line ...

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  6. Find the equation of a line drawn perependicular to the line (x)/(4)+(...

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  7. The perpendicular from the origin to a line meet at the point (-2, 9),...

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  8. A line perpendicular to the line-segment joining the points (1, 0) and...

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  9. The perpendicular from the origin to the line y = mx + c meets it at t...

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  10. Two lines passing through the point (2, 3) intersect each other at an ...

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  11. Show that the equation of the line through the origin and making an an...

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  12. If the lines y=3x+1 and 2y=x+3 are equally inclined to the line y=mx+4...

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  13. Let ABC be a triangle with A(-1,-5), B(0,0) and C(2,2) and let D be th...

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  14. Find the image of the point (3, 8) with respect to the line x+3y=7, as...

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  15. What are inclinations to the x-axis of the st. lines : y=1/3x sqrt3+3 ...

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  16. Prove that the points (2, - 1), (0, 2), (3, 3) and (5,0) are the verti...

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  17. Prove that the diagonals of the parallelogram formed by the four strai...

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  18. The equations of three lines are given by : 15x -8y +1 =0, 12x+5y-3=0 ...

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  19. The three sides AB, BC, CA of a triangle are 5x - 3y +2 = 0,x-3y-2=0 a...

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  20. Find the equation of the line through the point (0, 2) making an angle...

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