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If the point (5,2) bisects the intercept...

If the point (5,2) bisects the intercept of a line between the axes, then its equation is `5x+2y=20` b. `2x+5y=20` c. `5x-2y=20` d. `2x-5y=20`

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To find the equation of the line that has its intercept bisected by the point (5, 2), we can follow these steps: ### Step 1: Understand the problem The point (5, 2) bisects the intercepts of a line with the x-axis and y-axis. This means that the x-intercept and y-intercept of the line are equidistant from the point (5, 2). ### Step 2: Set up the intercept form of the line The intercept form of a line can be expressed as: \[ ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. The area of a triangle with vertices at (-4,-1), (1,2) and (4,-3) is ...

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  2. The line segment joining the points (1,2) and (-2,1) is divided by the...

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  3. If the point (5,2) bisects the intercept of a line between the axes, ...

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  4. A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If "Del...

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  5. If p be the length of theperpendicular from the origin on the line x//...

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  6. The equation of the line passing through (1,5) and perpendicular to th...

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  7. The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a squa...

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  8. Two vertices of triangle are (-2,-1) and (3,2) and third vertex lies o...

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  9. (i) Find the gradient of a straight line which is passes through the p...

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  10. The angle between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is ^0 d. 30...

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  11. Distance between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is (35)/(sq...

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  12. The value of lambda for which the lines 3x+4y=5,5x+4y=4\ a n d\ lambda...

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  13. Three vertices of a parallelogram, taken in order, are (-1, -6), (2...

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  14. The centroid of triangle is (2,7) and two of its vertices are (4,8)...

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  15. The medians A D\ a n d\ B E of a triangle with vertices A(0, b),\ B(0,...

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  16. The equation of the line with gradient -3/2 which is concurrent with t...

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  17. A point equidistant from the line 4x+3y+2=0,\ 5x-12 y+26=0\ a n d\ 7x+...

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  18. Find the ratio in which the line 3x+4y+2=0 divides the distance betwee...

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  19. The coordinates of the foot of the perpendicular from the point (2,3) ...

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  20. Find the image of the point (4,-13) in the line 5x+y+6=0.

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