Straight Lines and Pair of Straight Lines
Showing 50 of 303 · 303 total
- 251.If non zero numbers a, b, c are in H.P., then the straight line [x a + y b + 1 c = 0] alwa…Easy
- 252.If [( a,a^2 )] falls inside the angle made by the lines [y = x 2,] x > 0 and y = 3x, x > 0…Medium
- 253.The line L given by [x 5 + y b = 1] passes through the point [( 13,32 )].Medium
- 254.A ray of light along [x + 3 y = 3 ] gets reflected upon reaching X-axis, the equation of t…Medium
- 255.Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3).Easy
- 256.The number of points, having both co-ordinates as integers, that lie in the interior of th…Medium
- 257.If a variable line drawn through the intersection of the lines [x 3 + y 4 = 1] and [x 4 + …Medium
- 258.Let k be an integer such that the triangle with vertices (k, -- 3k), (5, k) and (--k, 2) h…Medium
- 259.A square, of each side 2, lies above the x-axis and has one vertex at the origin.Medium
- 260.The sides of a rhombus ABCD are parallel to the lines, x - y + 2 = 0 and 7x - y + 3 = 0.Hard
- 261.In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B …Medium
- 262.Lines are drawn parallel to the line 4x -- 3y + 2 = 0, at a distance [3 5] from the origin…Medium
- 263.Two sides of a parallelogram are along the lines, x + y = 3 & x -- y + 3 = 0.Medium
- 264.If 5, 5r, 5r2 are the lengths of the sides of a triangle, then r cannot be equal to :Easy
- 265.A straight line L at a distance of 4 units from the origin makes positive intercepts on th…Medium
- 266.If the system of linear equations x -- 2y + kz = 1 2x + y + z = 2 3x -- y -- kz = 3 has a …Medium
- 267.If the two lines x + (a -- 1) y = 1 and 2x + a2y = 1 (a[ ]R -- 0, 1) are perpendicular, th…Medium
- 268.The set of all possible values of [ ] in the interval (0, [ ]) for which the points (1, 2)…Medium
- 269.Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with …Medium
- 270.A ray of light coming from the point (2, [2 3 ]) is incident at an angle 30o on the line x…Medium
- 271.Let two points be A(1, --1) and B(0, 2).Medium
- 272.Let the centroid of an equilateral triangle ABC be at the origin.Medium
- 273.The equation of one of the straight lines which passes through the point (1, 3) and makes …Medium
- 274.A man is walking on a straight line.Medium
- 275.Let the equation of the pair of lines, y = px and y = qx, can be written as (y - px) (y - …Easy
- 276.The point P (a, b) undergoes the following three transformations successively : (a) reflec…Medium
- 277.Let A be the set of all points ([], []) such that the area of triangle formed by the point…Medium
- 278.If p and q are the lengths of the perpendiculars from the origin on the lines, x cosec [] …Medium
- 279.Let the point [P(, )] be at a unit distance from each of the two lines L_1: 3 x-4 y+12=0, …Medium
- 280.A line, with the slope greater than one, passes through the point A(4,3) and intersects th…Medium
- 281.The equations of the sides [AB, BC] and CA of a triangle ABC are [2 x+y=0, x+p y=39] and x…Hard
- 282.Let A(1,1), B(-4,3), C(-2,-5) be vertices of a triangle A B C, P be a point on side B C, a…Medium
- 283.Let m_1, m_2 be the slopes of two adjacent sides of a square of side a such that [a^2+11 a…Hard
- 284.The distance of the origin from the centroid of the triangle whose two sides have the equa…Medium
- 285.Let []1, []2 ([]1 2) be the values of [] fo the points ([], -3), (2, 0) and (1, []) to be …Medium
- 286.Let [(, )] be the centroid of the triangle formed by the lines 15 x-y=82,6 x-5 y=-4 and 9 …Medium
- 287.The combined equation of the two lines ax+by+c=0 and a'x+b'y+c'=0 can be written as (ax+by…Easy
- 288.Let B and C be the two points on the line y+x=0 such that B and C are symmetric with respe…Medium
- 289.The straight lines [l_1] and [l_2] pass through the origin and trisect the line segment of…Medium
- 290.Let [C(, )] be the circumcenter of the triangle formed by the lines 4 x+3 y=69 4 y-3 x=17,…Medium
- 291.Let [R] be the interior region between the lines 3 x-y+1=0 and x+2 y-5=0 containing the or…Medium
- 292.Let [A] be the point of intersection of the lines 3 x+2 y=14,5 x-y=6 and [B] be the point …Medium
- 293.In a [ A B C], suppose y=x is the equation of the bisector of the angle B and the equation…Medium
- 294.Let A(a, b), B(3,4) and C(-6,-8) respectively denote the centroid, circumcentre and orthoc…Medium
- 295.Let [, , , Z] and let [A(, ), B(1,0), C(, )] and D(1,2) be the vertices of a parallelogram…Medium
- 296.Let two straight lines drawn from the origin [O] intersect the line 3 x+4 y=12 at the poin…Medium
- 297.The equations of two sides [AB] and [AC] of a triangle [ABC] are 4 x+y=14 and 3 x-2 y=5, r…Medium
- 298.A ray of light coming from the point [P(1,2)] gets reflected from the point [Q] on the x-a…Medium
- 299.A rod of length eight units moves such that its ends A and B always lie on the lines x-y+2…Hard
- 300.Let the points ((11)/(2), ) lie on or inside the triangle with sides x+y=11, x+2 y=16 and …Medium