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Friday, 9 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 6 April 2024, Shift 2, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

If the locus of the point, whose distances from the point (2,1)(2,1) and (1,3)(1,3) are in the ratio 5:45:4, is ax2+by2+cxy+dx+ey+170=0ax^2+by^2+cxy+dx+ey+170=0, then the value of a2+2b+3c+4d+ea^2+2b+3c+4d+e is equal to :
  1. (1)5
  2. (2)437
  3. (3)-27
  4. (4)37Official answer

Official answer

Option 4

NTA final key.

Same topic in other shifts

All Straight Line Distance questions
  1. 2 Apr 2026, Shift 1 · Q9Let the mid points of the sides of a triangle ABC be (52,7)\left(\frac{5}{2}, 7\right), (52,3)\left(\frac{5}{2}, 3\right) and (4,5)(4, 5). If its…MediumSingle correct
  2. 2 Apr 2026, Shift 2 · Q10Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines…MediumSingle correct
  3. 4 Apr 2026, Shift 1 · Q11Let the line L1:x+3=0L_1: x+3=0 intersect the lines L2:x−y=0L_2: x-y=0 and L3:3x+y=0L_3: 3x+y=0 at the points A and B, respectively. Let the bisector of the…MediumSingle correct
  4. 5 Apr 2026, Shift 2 · Q22From the point (−1,−1)(-1, -1), two rays are sent making angles of 45∘45^\circ with the line x+y=0x+y=0. These rays get reflected from the mirror…HardNumerical value
  5. 6 Apr 2026, Shift 1 · Q22Let the centre of the circle x2+y2+2gx+2fy+25=0x^2+y^2+2gx+2fy+25=0 be in the first quadrant and lie on the line 2x−y=42x-y=4. Let the area of an equilateral…MediumNumerical value
  6. 2 Apr 2025, Shift 2 · Q10Let the area of the triangle formed by a straight line L:x+by+c=0L : x + by + c = 0 with co-ordinate axes be 48 square units. If the perpendicular…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.