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 · 31 Aug · Shift 2 · Q33
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 · 31 Aug · Shift 2 · Q33

Straight Lines and Pair of Straight Lines question

2021 · 31 Aug · Shift 2 · Q33

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
Let A be the set of all points (α\alphaα, β\betaβ) such that the area of triangle formed by the points (5, 6), (3, 2) and (α\alphaα, β\betaβ) is 12 square units. Then the least possible length of a line segment joining the origin to a point in A, is :
  1. A
    45{4 \over {\sqrt 5 }}5​4​
  2. B
    165{16 \over {\sqrt 5 }}5​16​
  3. C
    85{8 \over {\sqrt 5 }}5​8​
  4. D
    125{12 \over {\sqrt 5 }}5​12​
PreviousNext

More from Straight Lines and Pair of Straight Lines

  • The set of all possible values of θ in the interval (0, π) for which the points (1, 2) and (sin θ, cos θ) lie on the same side of the line x + y = 1 is :2020 · MCQ
  • If a Δ ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :2020 · MCQ
  • Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is the point of intersection of BC and AD, then the height of P (in m) above the line AC is :2020 · MCQ
  • If the perpendicular bisector of the line segment joining the points P(1 ,4) and Q(k, 3) has y-intercept equal to –4, then a value of k is :2020 · MCQ
  • If the line, 2x - y + 3 = 0 is at a distance 5​1​ and 5​2​ from the lines 4x - 2y +α= 0 and 6x - 3y +β= 0, respectively, then the sum of all possible values of α and β is :2020 · Numerical
  • A ray of light coming from the point (2, 23​) is incident at an angle 30o on the line x = 1 at the point A. The ray gets reflected on the line x = 1 and meets x-axis at the point B. Then, the line AB passes through the point :2020 · MCQ
  • Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1, –4) in this line is :2020 · MCQ
  • Let A(1, 0), B(6, 2) and C (23​,6) be the vertices of a triangle ABC. If P is a Point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ,…2020 · Numerical