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

2023 · 29 Jan · Shift 1 · Q30
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. /2023 · 29 Jan · Shift 1 · Q30

Straight Lines and Pair of Straight Lines question

2023 · 29 Jan · Shift 1 · Q30

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
A light ray emits from the origin making an angle 30 ∘^\circ∘ with the positive xxx-axis. After getting reflected by the line x+y=1x+y=1x+y=1, if this ray intersects xxx-axis at Q, then the abscissa of Q is :
  1. A
    2(3−1){2 \over {\left( {\sqrt 3 - 1} \right)}}(3​−1)2​
  2. B
    23−3{2 \over {3 - \sqrt 3 }}3−3​2​
  3. C
    32(3+1){{\sqrt 3 } \over {2\left( {\sqrt 3 + 1} \right)}}2(3​+1)3​​
  4. D
    23+3{2 \over {3 + \sqrt 3 }}3+3​2​
PreviousNext

More from Straight Lines and Pair of Straight Lines

  • Let A(a​3​,a​),a>0, be a fixed point in the xy-plane. The image of A in y-axis be B and the image of B in x-axis be C. If D(3cosθ,asinθ) is a point in the fourth quadrant…2022 · Numerical
  • Let the area of the triangle with vertices A(1, α), B(α, 0) and C(0, α) be 4 sq. units. If the points (α, −α), (−α, α) and (α 2, β) are collinear, then β is equal to :2022 · MCQ
  • A line, with the slope greater than one, passes through the point A(4,3) and intersects the line x−y−2=0 at the point B. If the length of the line segment AB is 329​​, then B also lies on the line :2022 · MCQ
  • Let the point P(α,β) be at a unit distance from each of the two lines L1​:3x−4y+12=0, and L2​:8x+6y+11=0. If P lies below L1​ and above L2​, then 100(α+β) is equal to :2022 · MCQ
  • A point P moves so that the sum of squares of its distances from the points (1,2) and (−2,1) is 14. Let f(x,y)=0 be the locus of P, which intersects the x-axis at the points A, B and the y-axis…2022 · MCQ
  • The equations of the sides AB,BC and CA of a triangle ABC are 2x+y=0,x+py=15a and x−y=3 respectively. If its orthocentre is (2,a),−21​<a<2, then…2022 · Numerical
  • Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that PQR is an equilateral triangle. Then the area of Δ PQR is :2022 · MCQ
  • Let A(1,1),B(−4,3),C(−2,−5) be vertices of a triangle ABC,P be a point on side BC, and Δ1​ and Δ2​ be the areas of triangles APB and ABC, respectively. If Δ1​:Δ2​=4:7, then the area…2022 · MCQ