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Exercise Solutions 10.3class 11 Maths NCERT Solutions Chapter 10 Straight Lines

Class 11 Maths NCERT Solutions Chapter 10 Straight Lines is developed and witten by our expert teachers. Students can study our solutions of Chapter 10 Straight Lines class 11 Maths, 1. Reduce the following equations into slope - intercept form and find their slopes and the y - intercepts. (i) x + 7y = 0, (ii) 6x + 3y – 5 = 0, (iii) y = 0. , 2. Reduce the following equations into intercept form and find their intercepts on the axes. (i) 3x + 2y – 12 = 0, (ii) 4x – 3y = 6, (iii) 3y + 2 = 0., 3. Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis. (i) x –3y + 8 = 0, (ii) y – 2 = 0, (iii) x – y = 4. , 4. Find the distance of the point (–1, 1) from the line 12(x + 6) = 5(y – 2)., 5. Find the points on the x-axis, whose distances from the line x/3 + y/4 =1 are 4 units., 6. Find the distance between parallel lines(i) 15x + 8y – 34 = 0 and 15x + 8y + 31 = 0 (ii) l (x + y) + p = 0 and l (x + y) – r = 0. , 7. Find equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (–2, 3)., 8. Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3., 9. Find angles between the lines , 10. The line through the points (h, 3) and (4, 1) intersects the line 7x -9y -19 = 0 at right angle. Find the value of h. , 11. Prove that the line through the point (x 1 , y1 ) and parallel

NCERT Solutions Class 11 Maths
Chapter 10 Straight Lines
Exercise 10.3 Answers

=1. Reduce the following equations into slope - intercept form and find their slopes and the y - intercepts. (i) x + 7y = 0, (ii) 6x + 3y – 5 = 0, (iii) y = 0.

1. Reduce the following equations into

=2. Reduce the following equations into intercept form and find their intercepts on the axes. (i) 3x + 2y – 12 = 0, (ii) 4x – 3y = 6, (iii) 3y + 2 = 0.

2. Reduce the following equations into

=3. Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis. (i) x –3y + 8 = 0, (ii) y – 2 = 0, (iii) x – y = 4.

3. Reduce the following equations into

=4. Find the distance of the point (–1, 1) from the line 12(x + 6) = 5(y – 2).

4. Find the distance of the point

=5. Find the points on the x-axis, whose distances from the line x/3 + y/4 =1 are 4 units.

5. Find the points on the x-axis, whose

=6. Find the distance between parallel lines(i) 15x + 8y – 34 = 0 and 15x + 8y + 31 = 0 (ii) l (x + y) + p = 0 and l (x + y) – r = 0.

6. Find the distance between parallel

=7. Find equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (–2, 3).

7. Find equation of the line parallel

=8. Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3.

8. Find equation of the line

=9. Find angles between the lines

9. Find angles between the lines

=10. The line through the points (h, 3) and (4, 1) intersects the line 7x -9y -19 = 0 at right angle. Find the value of h.

10. The line through the points (h, 3)

=11. Prove that the line through the point (x 1 , y1 ) and parallel to the line Ax + By + C = 0 is A (x –x 1 ) + B (y – y1 ) = 0.

11. Prove that the line through the

=12. Two lines passing through the point (2, 3) intersects each other at an angle of 60 If slope of one line is 2, find equation of the other line.

12. Two lines passing through the point

=13. Find the equation of the right bisector of the line segment joining the points (3, 4) and (–1, 2).

13. Find the equation of the right

=14. Find the coordinates of the foot of perpendicular from the point (–1, 3) to the line 3x – 4y – 16 = 0.

14. Find the coordinates of the foot of

=15. The perpendicular from the origin to the line y = mx + c meets it at the point (–1, 2). Find the values of m and c.

15. The perpendicular from the origin

=16. If p and q are the lengths of perpendiculars from the origin to the lines...

16. If p and q are the lengths of

=17. In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.

17. In the triangle ABC with vertices A

=18. If p is the length of perpendicular from the origin to the line whose intercepts on ...

18. If p is the length of perpendicular

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