JEE Maths - Point

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Question - 1

Find the area of triangle formed by the lines xy = 0 and x + y = 4______

  • A 4
  • B 8
  • C 12
  • D 16

Question - 2

If (2,3), (-1, 10) and (4, 5) are the vertices of a triangle then find the square of distance between circum center and orthocenter____

  • A \(\sqrt{\frac{29}{2}} \)
  • B \(\sqrt{\frac{28}{2}} \)
  • C \(\sqrt{\frac{29}{9}} \)
  • D \(\sqrt{\frac{29}{9}} \)

Question - 3

The centroid of a triangle is (1, 4) and the coordinates of its two vertices are (4, - 3) and (- 9, 7). Then find the area of the triangle______

  • A \(\frac{183}{2} \)
  • B \(\frac{183}{6} \)
  • C \(\frac{183}{4} \)
  • D \(\frac{180}{2} \)

Question - 4

(xi, yi) are vertices of a equilateral triangle ABC such that \(\left(x_{1}-2\right)^{2}+\left(y_{1}-3\right)^{2}=\left(x_{2}-2\right)^{2}+\left(y_{2}-3\right)^{2}=\left(\mathrm{x}_{3}-2\right)^{2}+\left(\mathrm{y}_{3}-3\right)^{2} . \text { Then } 2\left(\mathrm{x}_{1}+\mathrm{x}_{2}+\mathrm{x}_{3}\right)+3\left(\mathrm{y}_{1}+\mathrm{y}_{2}+\mathrm{y}_{3}\right)=\)_____

  • A 20
  • B 25
  • C 39
  • D 45

Question - 5

Opposite vertex of a square are (-1, 2) and (3, 4) then find the area of square_____

  • A 10
  • B 15
  • C 20
  • D 25

Question - 6

Mid point of sides of a triangle in x-y plane are (1, 1), (4,3) & (3, 5). Then find area of triangle________

  • A 8
  • B 16
  • C 24
  • D 32

Question - 7

If the incentre of triangle formed by coordinates axes and line 3x + 4y = 12 is (a, b) then find the value of 9a + 8b_____

  • A 15
  • B 16
  • C 17
  • D 18

Question - 8

If the vertices of a quadrilateral is given by (x2 - 9)2 + (y2 - 4)2 = 0 and area of quadrilateral is \(\lambda\), then frnd the value of \(\lambda\)/3_______

  • A 24
  • B 12
  • C 6
  • D 8

Question - 9

A point P moves in such a way that sum of its perpendicular distances from two perpeadicular lines in its plane is always 2. Then find the area of region bounded by locus of P_______

  • A 8
  • B 12
  • C 18
  • D 24

Question - 10

Point Q is symmetric to P(4, -1) with respect to the bisector of the first quadrant. If lengh of PQ is k\(\sqrt2\) then frnd k______

  • A 3
  • B 5
  • C 7
  • D 9
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