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CBSE - Class 11 > Mathematics > Straight Lines Worksheets

Free CBSE - Class 11 Mathematics - Straight Lines worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

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.
Find the points on the x-axis, whose distances from the line $\frac{x}{3} + \frac{y}{4} = 1$ are 4 units.
7.
Find equation of the line parallel to the line $3x - 4y + 2 = 0$ and passing through the point (–2, 3).
8.
The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (– 4, 1). Find an equation of the legs (perpendicular sides) of the triangle which are parallel to the axes.
9.
Find the image of the point (3, 8) with respect to the line $x +3y = 7$ assuming the line to be a plane mirror.
10.
If the lines $y = 3x +1$ and $2y = x + 3$ are equally inclined to the line $y = mx + 4$, find the value of $m$.
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Chapters in CBSE - Class 11 Mathematics

Binomial Theorem Worksheet Complex Numbers Worksheet Conic Sections Worksheet Introduction to Three Dimensional Geometry Worksheet Limits and Derivatives Worksheet Linear Inequalities Worksheet Mathematics Worksheet Permutations and Combinations Worksheet Probability Worksheet Relations and Functions Worksheet Sequences and Series Worksheet Sets Worksheet Statistics Worksheet Trigonometric Functions Worksheet

Free Straight Lines Worksheets

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