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Find the equation of the line passing through `(3,- 5)`and perpendicular to the line through the points `(1,0)`and `(-4,1)`.

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To find the equation of the line passing through the point (3, -5) and perpendicular to the line through the points (1, 0) and (-4, 1), we can follow these steps: ### Step 1: Find the slope of the line through the points (1, 0) and (-4, 1). The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} ...
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NCERT-STRAIGHT LINES-EXERCISE 10.2
  1. By using the concept of equation of a line, prove that the three poin...

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  2. Write the equations for the x–and y–axes.

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  3. Find the equation of the line which satisfy the given conditions : Pa...

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  4. Find the equation of the line which satisfy the given conditions : Pa...

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  5. Find the equation of the line which satisfy the given conditions : Pa...

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  6. Find the equation of the line which satisfy the given conditions : In...

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  7. Find the equation of the line which satisfy the given conditions : In...

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  8. Find the equation of the line which satisfy the given conditions : Pa...

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

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  10. P (a, b) is the midpoint of a line segment between axes. Show that eq...

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  11. Find equation of the line passing through the point (2, 2) and cuttin...

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

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  13. A line perpendicular to the line segment joining the points (1, 0) an...

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  14. Find the equation of the line passing through (3,- 5)and perpendicular...

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

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

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

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

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  19. Find the equation of the line which satisfy the given conditions : Pe...

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

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