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Find the equation of the line passing through the point `(2,3)` and making an intercept of length `3u n i t s` between the lines `y+2x=2a n dy+2x=5.`

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A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. if x and y coordinates of a point P in x-y plane are given by x=(ucosa...

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  2. A straight line L is perpendicular to the line 5x-y=1 . The area of th...

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  3. Find the equation of the line passing through the point (2,3) and maki...

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  4. The equation of the straight line through the point of intersection of...

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  5. Find the points on the line x+y=4 that lies at a unit distance from th...

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  6. A line is such that its segment between the lines 5x -y+4=0 and 3x +4y...

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  7. lines L1:ax+by+c=0 and L2:lx+my+n=0 intersect at the point P and make ...

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  8. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

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  9. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

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  10. If (h, r) is the foot of the perpendicular from (x1, y1) to lx+my+n=0,...

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  11. Equations of two straight lines are xcos alpha + ysin alpha = p and xc...

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  12. The side AB,BC,CD and DA of a quadrilateral are x+2y=3, x=1, x-3y=4, 5...

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  13. Let A B C be a triangle with A B=A Cdot If D is the midpoint of B C ,E...

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  14. Show that the lines 4x+y-9=0,x-2y+3=0,5x-y-6=0 make equal intercepts o...

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  15. A line through the variable point A(k+1,2k) meets the lines 7x+y-16=0,...

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  16. A straight line through the point A(-2, -3) cuts the line x+3y=9 and x...

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  17. A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0a n dx-y-5=0 ...

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  18. The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n...

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  19. Find the equations of the lines which pass through the point (4,5) and...

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  20. Find the bisector of acute angle between the lines x+y - 3 = 0 and 7x ...

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