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Point R (h, k) divides a line segment be...

Point R (h, k) divides a line segment between the axes in the ratio` 1:2 `Find equation of the line.

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The correct Answer is:
`2kx + hy = 3kh`
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A straight line passes through the point (1,2) and is such that the protion of it intercepted between the axes is divided internally at the points in the ratio 3:2 . Find the equation of the line .

Determine the equation of the straight line through the point (2,3) which divides the portion of the line segment between the axes in the ratio 2 : 1 .

P( h, k) is the mid-point of a line segment between axes. Show that equation of the line is x/a + y/b = 2 .

A straight line passes through (1,1) and portion of the line intercept between the axes is divided at this point in the ratio 3:4. Find the equation of the line.

The position vectors of the points A and B are 2 veca + vecb and veca - 3vecb . If the point C divides the line segment bar (AB) externally in the ratio 1:2 , then find the position vector of the point C. Show also that A is the midpoint of the line segment bar (CB) .

A straight line passes throught the point (2,3) and is such that the portion of it intercepted between the axes is divided internally at the point in the ratio 4:3 . Find the equation of the straight line.

The position vectors of the points A and B are 2vec(a)+vec(b) " and " vec(a)-3vec(b) . If the point C divides the line-segment bar(AB) externally in the ratio 1:2, then find the position vector of the point C. Show also that A is the midpoint of the line-segment bar(CB) .

A(2,5) and B(-3,-4) are two fixed points , the point P divides the line -segment overline(AB) internally in the ratio k:1 . Find the coordinates of P . Hence find the equation of the line joining A and B.

Determine the equation of the straight line through the point (2,3)which divides the portion of the line segment between the axes In the ratio 2:1

NCERT BANGLISH-STRAIGHT LINES-EXERCISE 10.2
  1. Write the equations for the x-and y-axes.

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  2. Find the equation of the line Passing through the point (-4, 3) with ...

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  3. Passing through (0, 0) with slope m.

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  4. Passing through (2, 2 sqrt3) and inclined with the x-axis at an angle ...

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  5. Intersecting the x-axis at a distance of 3 units to the left of origin...

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  6. Intersecting the y-axis at a distance of 2 units above the origin and ...

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  7. Find the equation of the line Passing through the points (-1, 1) " an...

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  8. Find the equation of the line Perpendicular distance from the origin i...

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  9. The vertices of Delta PQR " are " P (2, 1) , Q (-2, 3) " and " R (4, 5...

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  10. Find the equation of the line passing through (-3, 5) and perpendicula...

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

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  12. Find the equation of a line that cuts off equal intercepts on the coor...

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  13. Find equation of the line passing through the point (2, 2) and cutting...

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  14. Find equation of the line through the point(0, 2) making an angle (2pi...

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  15. The perpendicular from the origin to a line meets it at the point (-2,...

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  16. The length L (in centimetre) of a copper rod is a linear function of i...

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

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  18. P( h, k) is the mid-point of a line segment between axes. Show that e...

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  19. Point R (h, k) divides a line segment between the axes in the ratio 1:...

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  20. By using the concept of equation of a line, prove that the three point...

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