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Miscellaneous Solutions Class 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. Find the values of k for which the line (k–3) x – (4 – k2) y + k2 –7k + 6 = 0 is (a) Parallel to the x-axis, (b) Parallel to the y-axis, (c) Passing through the origin. , 2. Find the values of θ and p, if the equation x cos θ + y sinθ = p is the normal form ..., 3. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively., 4. What are the points on the y-axis whose distance from the line is ... 4 units., 5. Find perpendicular distance from the origin of the line joining the points (cosθ, sin θ) and (cos φ, sin φ)., 6. Find the equation of the line parallel to y-axis and drawn through the point ofintersection of the lines x – 7y + 5 = 0 and 3x + y = 0., 7. Find the equation of a line drawn perpendicular to the line ... through the point, where it meets the y-axis., 8. Find the area of the triangle formed by the lines y – x = 0, x + y = 0 and x – k = 0. , 9. Find the value of p so that the three lines 3x + y – 2 = 0, px + 2 y – 3 = 0 and 2x – y – 3 = 0 may intersect at one point. , 10. If three lines whose equations are y = m1x + c1, y = m2x + c2 and y = m are concurrent, then show that ..., 11. Find the equation of the lines through the point (3, 2) which make an angle of 45 with the

NCERT Solutions Class 11 Maths
Chapter 10 Straight Lines
Miscellaneous Answers

=1. Find the values of k for which the line (k–3) x – (4 – k2) y + k2 –7k + 6 = 0 is (a) Parallel to the x-axis, (b) Parallel to the y-axis, (c) Passing through the origin.

1.   Find the values of k for which the

=2. Find the values of θ and p, if the equation x cos θ + y sinθ = p is the normal form ...

2. Find the values of  θ and p, if the

=3. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively.

3. Find the equations of the lines,

=4. What are the points on the y-axis whose distance from the line is ... 4 units.

4. What are the points on the y-axis

=5. Find perpendicular distance from the origin of the line joining the points (cosθ, sin θ) and (cos φ, sin φ).

5. Find perpendicular distance from the

=6. Find the equation of the line parallel to y-axis and drawn through the point ofintersection of the lines x – 7y + 5 = 0 and 3x + y = 0.

6. Find the equation of the line

=7. Find the equation of a line drawn perpendicular to the line ... through the point, where it meets the y-axis.

7. Find the equation of a line drawn

=8. Find the area of the triangle formed by the lines y – x = 0, x + y = 0 and x – k = 0.

8. Find the area of the triangle formed

=9. Find the value of p so that the three lines 3x + y – 2 = 0, px + 2 y – 3 = 0 and 2x – y – 3 = 0 may intersect at one point.

9. Find the value of p so that the

=10. If three lines whose equations are y = m1x + c1, y = m2x + c2 and y = m are concurrent, then show that ...

10. If three lines whose equations are

=11. Find the equation of the lines through the point (3, 2) which make an angle of 45 with the line x – 2y = 3.

11. Find the equation of the lines

=12. Find the equation of the line passing through the point of intersection of the lines 4x + 7y – 3 = 0 and 2x – 3y + 1 = 0 that has equal intercepts on the axes

12. Find the equation of the line

=13. Show that the equation of the line passing through the origin and making an angle θ with the line ...

13. Show that the equation of the line

=14. In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line x + y = 4?

14. In what ratio, the line joining

=15. Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0.

15. Find the distance of the line 4x +

=16. Find the direction in which a straight line must be drawn through the point (–1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.

16. Find the direction in which a

=17. The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (– 4, 1). Find the equation of the legs (perpendicular sides) of the triangle.

17. The hypotenuse of a right angled

=18. Find the image of the point (3, 8) with respect to the line x +3y = 7 assuming the line to be a plane mirror.

18. Find the image of the point (3, 8)

=23. Prove that the product of the lengths of the perpendiculars drawn from the ...

23. Prove that the product of the

=24. 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.

24. A person standing at the junction

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