CBSE Guess > Papers > Important Questions > Class XI > 2010 > Maths > Maths By Mr. Anil Kumar Tondak CBSE CLASS XI
Q.25. Find the distance of the point (-1,1) from the line 12(x + 6) =5(y - 2). Q.26. In what ratio, the line joining (-1, 1) and (5, 7) is divided by the line x + y =4. Q.27. A line is such that its segment between the lines 5x y + 4 = 0 and 3x + 4y 4 = 0 is bisected at the point (1, 5). Obtain its equation. Q.28. Find the distance of the point ( 2, 3 ) from the line 2 x 3 y + 9 = 0 measured along a line x y + 1 = 0. Q.29. Find equation of the line which is equidistant from parallel lines 9x + 6y 7 = 0 and 3x + 2y + 6 = 0. Q.33. Find the equation of the line mid parallel to the lines 9x + 12y - 15 = 0 and 3x + 4y - 15 = 0 Q.35. P ( a, b ) is the mid point of a line segment between the axes. Show that the equation of the line is x / a + y / b = 2. Q.36. Find out the angle between the following pair of lines y √3x 5 = 0 and √3y x + 6 = 0 y = ( 2 √3)x + 5 and y = ( 2 + √3)x 2 Q.37. Find the coordinates of the foot of the perpendicular from the point (-1,3) to the line 3x 4y 16=0. Q.38. One side of a recatngle lie along the line 4x + 7y +5 = 0. Two of its vertices are (-3,1) and (1,1). Find the equation of the diagonals of the rectangle. Q. 39. 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. Q.40. Find the image of the point (1, -2) on the line y = 2x + 1. Q. 41. A ray of light is sent along the line x - 2y - 3 = 0. Upon reaching the line 3x - 2y - 5 = 0 the ray is reflected from it. Find the equation of the line containing the reflected ray. Q.42. Find the image of the point ( 3, 8 ) with respect to the line x + 3y = 7 assuming the line to be a plane mirror. Q.43. Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x 3y + 4 = 0. Q.44. Find the distance of the point A(2, 3) from the line 2x - 3y + 9 = 0 measure along a line making an anagle of 450 with X axis. Q.45. Find the value of p so that the three lines 3x + y 2 =0, px + 2y -3 = 0 and 2x y -3 = 0 may intersect at one point. Q.46. Show that the area of the triangle formed by the lines Q.47. If S1, S2 and S3 be respectively the sum of n, 2n and 3n terms of a GP, prove that S1(S3- S2)=(S2-S1)2
Paper By Mr. Anil Kumar Tondak |
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Find the equation of the bisector of 
whose vertices are A(-2, 4), B(5,5) and C(4, -2). 
in to normal form and hence find the value of 
then show that 
.