Scholastic Aptitude Test - Mathematics - Co-Ordinate Geometry

Question - 1

Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and Bis (1,4)

  • A (3,-10)
  • B (3,10)
  • C (-3,10)
  • D none of these

Question - 2

If (1, 2) (4, y) (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

  • A (2,3)
  • B (6,3)
  • C (-2,3)
  • D (-6,-3)

Question - 3

Find the area of a rhombus if its vertices are (3, 0) (4, 5) (-1,4) and (:-2, -1) taken in order.

  • A 34 sq units
  • B 24 sq units
  • C 20 sq units
  • D 44 sq units

Question - 4

Find the value of p for which th~ points (-1, 3) (2, p) and (5, -1) are collinear

  • A 2
  • B 3
  • C 1
  • D 4

Question - 5

Three consecutive vertices of a paralleloqram are (-2, 1) (1, 0) and (4, 3). Find the fourth vertex.

  • A (1,4)
  • B (1, -2)
  • C (-1, 2)
  • D (-1, -2)

Question - 6

If the centroid of the triangle (a, b) (b, c) (c, a) is 0 (0,0), then the value of a3+b3+c3 is

  • A 0
  • B abc
  • C 3abc
  • D 2abc

Question - 7

Find the co-ordinates of points in the y-axis which one at distance of 5 units from the point (3, 2)

  • A (0, 6) (0, -2)
  • B (6, 0) (-2, 0)
  • C (-6, 0) (-2, 0)
  • D (0, -6) (0, -2)

Question - 8

Which of the following points be collinear with (6, 9) (0,1)

  • A (6, -7)
  • B (-6, 7)
  • C (-6, -7)
  • D none of these

Question - 9

The triangle formed by joining the vertices (2, -2) (-2, 1) and (5, 2) will be a

  • A Acute triangle
  • B Obtuse triangle
  • C Right-angled triangle
  • D None of these

Question - 10

The mid-point of the line segment joining (2a, 4) and (-2, 3b) is (1, 2a+ 1). Find a and b value?

  • A (2, -2)
  • B (-2, 2)
  • C (2, 2)
  • D none of these
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