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If three points A(h ,0),\ P(a , b)a n d\...

If three points `A(h ,0),\ P(a , b)a n d\ B(0, k)` lie on a line, show that: `a/h+b/k=1.`

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To prove that if the points \( A(h, 0) \), \( P(a, b) \), and \( B(0, k) \) lie on a straight line, then \( \frac{a}{h} + \frac{b}{k} = 1 \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Points**: - Let \( A(h, 0) \) be the point on the x-axis. - Let \( P(a, b) \) be a point in the Cartesian plane. - Let \( B(0, k) \) be the point on the y-axis. ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
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  2. A line passes through (x1,y1)and (h , k). If slope of the line is m,...

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  3. If three points A(h ,0),\ P(a , b)a n d\ B(0, k) lie on a line, show t...

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

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

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  7. Find the equation of the line passing through (0,0) with slope mdot

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  8. Find the equation of the line passing through (2,2sqrt(3)) and incline...

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  9. Find the equation of a straight line: with slope -2 and intersecting ...

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  10. Find the equation of the line which satisfy the given conditions : ...

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  11. Find the equation of the line Passing through the points (-1, 1), and ...

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  13. The vertices of DeltaPQR are P(2, 1), Q(-2, 3), R(4, 5). Find equation...

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

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

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  16. Find the equation of a line that cuts off equal intercepts on the c...

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  17. Find equation of the line passing through the point (2, 2) and cutt...

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  18. Find the equation of the line passing through the point (0,2) making a...

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

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