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Determine x so that 2 is the slope of th...

Determine `x` so that 2 is the slope of the line through (2,5) and `(x ,3)dot`

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To determine the value of `x` such that the slope of the line through the points (2, 5) and (x, 3) is equal to 2, we can follow these steps: ### Step 1: Write the formula for the slope of a line The formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] In our case, the points are (2, 5) and (x, 3). Thus, we can substitute \( (x_1, y_1) = (2, 5) \) and \( (x_2, y_2) = (x, 3) \). ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. What can be said regarding a line if its slope is i. positive ii. zero...

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  2. Find the slope of a line which passes through points (3,2) and (-1,5).

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  3. Determine x so that 2 is the slope of the line through (2,5) and (x ,3...

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  4. Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1...

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  5. A quadrilateral has the vertices at the points (-4,2),\ (2,6),\ (8,5)\...

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  6. If the points P(h , k),\ Q(x1, y1)a n d\ R(x2, y2) lie on a line. Show...

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  7. In figure, time and distance graph of a linear motion is given. Two ...

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  8. If points (a ,0),\ (0, b)a n d\ (x , y) are collinear, using the conce...

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  9. By using the concept of slope, prove that the diagonals of a rhombus a...

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  10. Using the concept of slope, prove that medians of an equilateral tr...

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  11. Prove that that a triangle which has one of the angle as 30^0 cannot h...

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  12. Find the slopes of the lines which make the following angles with the ...

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  13. Find the slopes of the lines which make the following angles with the ...

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  14. Find the slope of a line passing through the following point:\ (-3,2)a...

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  15. Find the slope of a line passing through the following point:(a t1^2,2...

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  16. Find the slope of a line passing through the following point: (3,-5)\ ...

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  17. State whether the tow lines in each of the following are parallel, ...

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  18. State whether the two lines in each of the following are parallel, p...

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  19. State whether the two lines in each of the following are parallel, p...

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  20. State whether the two lines in each of the following are parallel, p...

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