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Quantitative Aptitude

GEOMETRY MCQs

Coordinate Geometry, Coordinate Geometry (10th Grade), Three Dimensional Geometry (10th Grade)

Total Questions : 133 | Page 3 of 14 pages
Question 21.

The vertices of a triangle are A(3, 8), B(-4, 2) and C(5, - 1).The area of ∆ABC is :

  1.    28.5 sq. units
  2.    37.5 sq. units
  3.    42.5 sq.units
  4.    none of these
 Discuss Question
Answer: Option B. -> 37.5 sq. units
Question 22.

If the points A(2, 3), B(5, k) and C(6, 7) are collinear, then k = ?

  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option C. -> 6
Question 23.

lf the points A(1, - 1), B(5, 2) and C(k, 5) are collinear, then k = ?

  1.    3
  2.    6
  3.    9
  4.    none of these
 Discuss Question
Answer: Option C. -> 9
Question 24.

The end points of the diameter of a circle are A(4, - 1) and B(- 2, - 5). The co-ordinates of its centre are :

  1.    1, – 3 
  2.    2 , – 4 
  3.     – 1 , 2
  4.     – 2 , 3
 Discuss Question
Answer: Option A. -> 1, – 3 
Question 25.

vertices of a ∆ABC are A(-3,0), B(5,-2) and C(-8,5). The centroid of ∆ABC is:

  1.    –1 , 2 
  2.    – 2 , 1
  3.    1 , 2
  4.    1 , – 2 
 Discuss Question
Answer: Option B. -> – 2 , 1
Question 26.

Two vertices of ∆ABC are A(6,4) and B(- 2, 2) and its centroid is G(3, 4). The co-ordinates of C are :

  1.    4 , 5
  2.    5, 3
  3.    5 , 6
  4.    – 3 , 3
 Discuss Question
Answer: Option C. -> 5 , 6
Question 27.

Two vertices of a ∆ABC are B(- 3, 1) and C(0, - 2) and its centroid is at the origin. The third vertex A is:

  1.    3 , 1
  2.    2 , 3
  3.    – 2 , 3
  4.    – 1 , 3
 Discuss Question
Answer: Option A. -> 3 , 1
Question 28.

A point C divides the join of A(1, 3) and B(2, 7) in the ratio 3 : 4. The co- ordinates of C are :

  1.    \(\frac{5}{3}, 5\)
  2.    \(\frac{3}{2}, 5\)
  3.    \(\frac{10}{7},\frac{33}{7}\)
  4.    \(\frac{12}{7},\frac{39}{7}\)
 Discuss Question
Answer: Option C. -> \(\frac{10}{7},\frac{33}{7}\)
Question 29.

The end points of a line segment AB are A(- 5, 4) and B(7, - 8). Its midpoint is :

  1.    1 , – 2
  2.    2, – 1 
  3.    2, 3
  4.    3 , 2
 Discuss Question
Answer: Option A. -> 1 , – 2
Question 30.

In what ratio does the point P(2, - 5) divide the line segment joining A(- 3, 5) and B(4, - 9)?

  1.    2 : 3
  2.    4 : 3
  3.    5 : 1
  4.    5 : 2
 Discuss Question
Answer: Option D. -> 5 : 2

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