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Find the equation of a line that has y - intercept 4 and is perpendicular to the line joining `(2,-3)a n d(4,2)dot`

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To find the equation of a line that has a y-intercept of 4 and is perpendicular to the line joining the points (2, -3) and (4, 2), follow these steps: ### Step 1: Find the slope of the line joining the points (2, -3) and (4, 2). 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} ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
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  2. Prove that the line 5x-2y-1=0 is mid-parallel ot the lines 5x-2y-9=0a ...

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  3. Find the equation of a line that has y - intercept 4 and is perpendic...

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  9. Find the equation of a line which is equidistant from the lines x=-4 a...

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  10. Find the equation of a straight line which makes an angle of tan^(-1)s...

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  11. The equation of the base of an equilateral triangle is x+y=2 and its v...

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  12. find the slope of a line whose inclination to the positive directioin ...

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  13. What can be said regarding a line if its slope is i. positive ii. zero...

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

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

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

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

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

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

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

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