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21. Find equation of the line which is equidistant from parallel lines 9x + 6y – 7 = 0 and 3x + 2y + 6 = 0.
30
Oct
21. Find equation of the line which is equidistant from parallel lines 9x + 6y – 7 = 0 and 3x + 2y + 6 = 0. 21. Find equation of the line which is equidistant from parallel lines 9x + 6y – 7 = 0 and 3x + 2y + 6 = 0. October [...]
20. 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
30
Oct
20. 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 20. If sum of the perpendicular distances of a variable point P (x [...]
19. If the lines y = 3x +1 and 2y = x + 3 are equally inclined to the line y = mx + 4, find the value of m.
30
Oct
19. If the lines y = 3x +1 and 2y = x + 3 are equally inclined to the line y = mx + 4, find the value of m. 19. If the lines y = 3x +1 and 2y = x + 3 are equally inclined to the line y = mx + 4 [...]
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
30
Oct
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) with respect to the line x +3y = 7 assuming the line to be a plane mirror October 30, 2021 [...]
17. 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.
30
Oct
17. 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. 1). Find an equation of the legs (perpendicular sides) of the triangle. 17. The hypotenuse of a right angled triangle has its ends at [...]
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.
30
Oct
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 straight line must be drawn through [...]
15. Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0
30
Oct
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 + 7y + 5 = 0 from the point (1 2) along the line 2x – y = 0 October [...]
14. In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line x + y = 4?
30
Oct
14. In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line x + y = 4? 1) and (5 14. In what ratio 7) is divided by the line x + y = 4? the line joining (–1 October 30, 2021 Category: Chapter 10 - Straight Lines , Maths [...]
13. Show that the equation of the line passing through the origin and making an angle θ with the line y = mx + c is y/x = m +- tan θ/1 + m tan θ.
30
Oct
13. Show that the equation of the line passing through the origin and making an angle θ with the line y = mx + c is y/x = m +- tan θ/1 + m tan θ. 13. Show that the equation of the line passing through the origin and making an angle θ with the [...]
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.
30
Oct
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 passing through the point of intersection of the lines 4x [...]