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A line is such that its segment between ...

A line is such that its segment between the lines `5x -y+4=0` and `3x +4y- 4=0` is bisected at the point `(1,5).` Obtain its equation

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The correct Answer is:
`107x-3y-92=0`
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MODERN PUBLICATION-STRAIGHT LINES -Revision exercise
  1. Find the equation of the straight lines joining the points (acostheta(...

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  2. The extremities of the base of an isosceles triangle have coordinates ...

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

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  4. Find the distance of the line 4x y = 0from the point P(4, 1) measure...

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  5. Show that the plane a x+b y+c z+d=0 divides the line joining the point...

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  6. Prove that (-1,4) is the orthocentre of the triangle formed by the lin...

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  7. The equation of the perpendicular bisector of the side AB of a triangl...

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  8. The opposite angular points of a square are (3,4) a) and (1,-1). Then ...

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  9. Using the concept of slope, prove that medians of an equilateral tr...

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  10. Show that the perpendicular drawn from the point (4,1) on the line seg...

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  11. A rectangle has two opposite vertices at the points (1,2)a n d(5,5)dot...

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  12. Find the coordinates of the incentre and centroid of the triangle whos...

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  13. The vertices of a triangle are A(x1, x1tantheta1),B(x2, x2tantheta2)a ...

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  14. The points (1, 3) and (5, 1) are two opposite vert of a rectangle. Th...

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  15. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

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  16. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

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  17. One side of a square is inclined to the x-axis at an angle alpha and o...

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  18. On the portion of the line x+3y-3=0 which is intercepted between the c...

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

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  20. The hypotenuse of a right angled isosceles triangle has its ends at th...

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