Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Straight Lines and Pair of Straight Lines question

2021 · 16 Mar · Shift 2 · Q38
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Straight Lines and Pair of Straight Lines
  5. /2021 · 16 Mar · Shift 2 · Q38

Straight Lines and Pair of Straight Lines question

2021 · 16 Mar · Shift 2 · Q38

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
Let A(−-− 1, 1), B(3, 4) and C(2, 0) be given three points. A line y = mx, m > 0, intersects lines AC and BC at point P and Q respectively. Let A1 and A2 be the areas of Δ\DeltaΔ ABC and Δ\DeltaΔ PQC respectively, such that A1 = 3A2, then the value of m is equal to :
  1. A
    1
  2. B
    3
  3. C
    2
  4. D
    415{4 \over {15}}154​
PreviousNext

More from Straight Lines and Pair of Straight Lines

  • In a triangle PQR, the co-ordinates of the points P and Q are (− 2, 4) and (4, − 2) respectively. If the equation of the perpendicular bisector of PR is 2x − y + 2 = 0, then the centre of the circumcircle of the Δ PQR is :2021 · MCQ
  • The maximum value of z in the following equation z = 6xy + y2, where 3x + 4y ≤ 100 and 4x + 3y ≤ 75 for x ≥ 0 and y ≥ 0 is ​.2021 · Numerical
  • Let tan α, tan β and tan γ; α, β, γe2(2n−1)π​, n ∈ N be the slopes of three line segments OA, OB and OC, respectively, where O is origin. If circumcentre of Δ ABC coincides…2021 · Numerical
  • The number of integral values of m so that the abscissa of point of intersection of lines 3x + 4y = 9 and y = mx + 1 is also an integer, is :2021 · MCQ
  • The equation of one of the straight lines which passes through the point (1, 3) and makes an angles tan−1(2​) with the straight line, y + 1 = 3 2​ x is :2021 · MCQ
  • A square ABCD has all its vertices on the curve x2y2 = 1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCD is ​.2021 · Numerical
  • Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x + y = 3. If R and r be the radius of circumcircle and incircle respectively of Δ ABC,…2021 · MCQ
  • Consider a triangle having vertices A(− 2, 3), B(1, 9) and C(3, 8). If a line L passing through the circum-centre of triangle ABC, bisects line BC, and intersects y-axis at point (0,2α​), then the value of…2021 · Numerical