### 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