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Free CBSE - Class 11 Mathematics - Straight Lines worksheets

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1.
If sum of the perpendicular distances of a variable point P ($x$, $y$) from the lines $x + y – 5 = 0$ and $3x – 2y +7 = 0$ is always 10. Show that P must move on a line.
2.
Find equation of the line which is equidistant from parallel lines $9x + 6y – 7 = 0$ and $3x + 2y + 6 = 0$.
3.
A ray of light passing through the point (1, 2) reflects on the x-axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A.
4.
Prove that the product of the lengths of the perpendiculars drawn from the points ($\sqrt{a^2 - b^2}, 0$) and ($-\sqrt{a^2 - b^2}, 0$) to the line $\frac{x}{a} \cos\theta + \frac{y}{b} \sin\theta = 1$ is $b^2$.
5.
A person standing at the junction (crossing) of two straight paths represented by the equations $2x – 3y + 4 = 0$ and $3x + 4y – 5 = 0$ wants to reach the path whose equation is $6x – 7y + 8 = 0$ in the least time. Find equation of the path that he should follow.
6.
Reduce the following equations into intercept form and find their intercepts on the axes. (ii) $4x – 3y = 6$
7.
Reduce the following equations into intercept form and find their intercepts on the axes. (iii) $3y + 2 = 0$.
8.
Find the distance between parallel lines (i) $15x + 8y – 34 = 0$ and $15x + 8y + 31 = 0$
9.
Find the distance between parallel lines (ii) $l (x + y) + p = 0$ and $l (x + y) – r = 0$.
10.
Find equation of the line parallel to the line $3x - 4y + 2 = 0$ and passing through the point (–2, 3).
- OR -

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Top Tutors who teach CBSE - Class 11 Mathematics Straight Lines

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