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Find the equation of the lines through the point (3,2) which make an angle of `45^@` with the line x-2y=3.

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Find the equations of the lines through the point (3, 2) which make acute angle 45^@ with the line x -2y = 3.

Find the equation of a line through the origin, which makes an angle of 45^@ with the positive direction of x-axis.

Find the equations of the lines, which pass through the point (4, 5) and make equal angles with the lines 5x -12y + 6 = 0 and 3x = 4y + 7.

Find the equation of the st. line through the origin making angle of 60^@ with the st. line x +sqrt3y + 3sqrt3=0 .

Find the equation of a st. line, which passes through the point (-2,3) and makes an angle of 60^@ with the positive direction of x-axis.

Find equation of the line through the point (0, 2) making an angle (2pi)/3 with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

Find the equations of the two straight lines through (7,9) and making and angle of 60^0 with the line x-sqrt(3)y-2sqrt(3)=0.

Find the equation of the line drawn through the point (1, 0,2) to meet at right angles to the line (x+1)/(3)=(y-2)/(-2)=(z+1)/(-1) .

Find the equations of the line through the point (1,2,4) and parallel to the line 3x+2y-z=4, x-2y-2z=5.

PSEB-STRAIGHT LINES-EXERCISE
  1. Find perpendicular distance from the origin to the line joining the po...

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  2. Find the equation of the line parallel to y-axis and drawn through the...

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  3. Find the equation of a line drawn perpendicular to the line x/4+y/6=1 ...

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  4. Find the area of the triangle formed by the lines y-x = 0, x + y = 0 a...

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  5. Find the value of p so that the three lines 3x + y - 2 = 0, px + 2y-3 ...

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  6. If three lines whose equations arey = m1x + c1, y = m2x + c2 and y = m...

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  7. Find the equation of the lines through the point (3,2) which make an a...

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  8. Find the equation of the line passing through the point of intersectio...

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  9. Show that the equation of the line passing through the origin and maki...

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  10. In what ratio, the line joining (-1, 1) and (5, 7) is divided by the l...

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  11. Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) al...

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  12. Find the direction in which a straight line must be drawn through the ...

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  13. The hypotenuse of a right angled triangle has its ends at the points (...

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

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  16. If sum of the perpendicular distances of a variable point P (x, y) fro...

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  17. Find equation of the line which is equidistant from parallel lines 9x ...

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  18. A ray of light passing through the point (1, 2) reflects on the x-axis...

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  19. Prove that the product of the lengths of the perpendiculars drawn from...

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  20. A person standing at the junction (crossing) of two straight paths rep...

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