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Find the equation of a line through the point (-2,3) and parallel to the line 3x-4y+2=0.

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Find the equation of the plane through the point (-2, -1, -1 ), parallel to the line (x-1)/1=(y-2)/-2=(z-3)/1 and perpendicular to the plan 4x + y + z + 3 = 0.

Find the equation of the plane through the point (1,1,1) , parallel to the line (x-1)/(2)=(y-2)/(-3)=(z-3)/(3) and perpendicular to the plane x-2y+z-6=0 .

Find the vector and cartesion equation of the line through the point (1,2,3) and is parallel to the line (-x-2)/(3)=(y+3)/(7)=(2z-6)/(3)

Find the equation of the plane through the point (2, -1, -1), parallel to the line (x-1)/1=(y-3)/3=(z-2)/2 and perpendicular to the plane x - 2y - 3z - 4 = 0.

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JBD PUBLICATION-STRAIGHT LINES-EXAMPLE
  1. Reduce the following equations into intercept form and find their inte...

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  2. Prove that the line through the point (x(1),y(1)) and parallel to the ...

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  3. Find the equation of a line through the point (-2,3) and parallel to t...

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  4. Find the equation of the line through point (5,-2) and perpendicular t...

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  5. Find the equation of line perpendicular to x - 2y +3=0 and passing thr...

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  6. Without using the pythagorus, show that the points (4, 4), (3, 5) and ...

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  7. The slope of a line is double of the slope of another line. If tangent...

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

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  9. Find the equation of the line which satisfying the given conditions: ...

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  10. Find the equation of the right bisector of the line segment joining th...

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  11. Be using the concept of equation of a line prove that the three points...

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  12. The owner of a milk store finds that, he can sell 980 litres of milk e...

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  13. Find the equations of the lines passing through the point (2, 2) such ...

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  14. P(a,b) is the mid-point of a line segment between axes. Show that the ...

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  15. Find the area of the triangle formed by the lines y-x=0, x+y=0 and x-k...

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  16. The line 2x-3y=4 is perpendicular bisector of the line AB. If the coor...

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

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  18. Find the coordinates of a point on the x-axis whose distance from the ...

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  19. If p and q are the lengths of perpendicular from origin to the lines x...

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  20. Find the equation of the line through the intersection of lines 3x+4y=...

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