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Determine whether the line through point...

Determine whether the line through points (-2, 3) and (4, 1) is perpendicular to the line `3x = y + 1`.
Does line `3x = y + 1` bisect the line segment joining the two given points ?

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The correct Answer is:
yes; yes
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ICSE-EQUATION OF A LINE-EXERCISE 14(E)
  1. O (0, 0), A (3, 5) and B (-5, -3) are the vertices of triangle OAB. Fi...

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  2. O (0, 0), A (3, 5) and B (-5, -3) are the vertices of triangle OAB. Fi...

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  3. Determine whether the line through points (-2, 3) and (4, 1) is perpen...

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  4. Given a straight line x cos 30^@ + y sin 30^@ = 2. Determine the equat...

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  5. Find the value of k such that the line (k-2)x+(k+3)y-5=0 perpendi...

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  6. Find the value of k such that the line (k-2)x+(k+3)y-5=0 is para...

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  7. The vertices of a triangle are A (0, 5), B (-1, -2) and C (11, 7). Wri...

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  8. The vertices of a triangle are A (0, 5), B (-1, -2) and C (11, 7). Wri...

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  9. From the given figure, find : the co ordinates of A, B and C.

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  10. From the given figure, find : the equation of the line through A ...

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  11. P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of triangle PQR. Writ...

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  12. A(8, -6), B(-4, 2) and C(0, -10) are vertices of a triangle ABC. If P ...

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  13. In the given figure, line APB meets the x-axis at point A and y-axis a...

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  14. A line AB meets the x-axis at point A and y-axis at point B. The point...

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  15. A line intersects x-axis at point (-2, 0) and cuts off an intercept of...

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  16. Find the equation of a line passing through the point (2, 3) and havin...

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  17. The given figure (not drawn to scale) shows two straight lines AB and ...

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  18. Write down the equation of the line whose gradient is 3/2 and which pa...

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  19. The ordinate of a point lying on the line joining the points (6, 4) an...

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  20. Point A and B have co-ordinates (7, -3) and (1,9) respectively. Find :...

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