CBSE Class 10 Mathematics Coordinate Geometry MCQs Set B

Refer to CBSE Class 10 Mathematics Coordinate Geometry MCQs Set B provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 7 Coordinate Geometry Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects

MCQ for Class 10 Mathematics Chapter 7 Coordinate Geometry

Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 7 Coordinate Geometry in Class 10.

Chapter 7 Coordinate Geometry MCQ Questions Class 10 Mathematics with Answers

Question: P is a point on the graph of y = 5x + 3. The coordinates of a point Q are (3, –2). If M is the mid point of PQ, then M must lie on the line represented by
a) y = 5x + 1
b) y = 5x – 7
c) y = 5/ 2 x – 7/ 2
d) y = 5/ 2 x + 1/ 2
Answer: b

Question: If the vertices of a triangle have integral coordinates, then the triangle cannot be
a) an equilateral triangle
b) a right triangle
c) an isosceles triangle
d) All of the options
Answer: b

Question: If A (7/3, m/5) is the midpoint of the line segment joining the points B (3, -2) and C (4, 6), then the value of m is _______
a) 4
b) 10
c) -4
d) -8
Answer: b

Question: The ratio in which the line 2x + 3y - 9 = 0 the points (2, 3) and (4, 7) is _________
a) 3 : 1
b) -5 : 4
c) -1 : 5
d) 2 : 5
Answer: c

Question: If P = (2, 5), Q = (x, –7) and PQ = 13, what is the value of ‘x’?
a) 5
b) 3
c) –3
d) –5
Answer: c 

Question: A line l passing through the origin makes an angle q with positive direction of x-axis such that sin  = 3 5 . The coordinates of the point, which lies in the fourth quadrant at a unit distance from the origin and on perpendicular to l, are
a) ( 3 /5, 4/ 5)
b) (4/ 5 ,3 ,5 )
c) (3, –4)
d) (4, –3)
Answer: a 

Question: The centroid of the triangle whose vertices are (3, –7), (–8, 6) and (5, 10) is
a) (0, 9)
b) (0, 3)
c) (1, 3)
d) (3, 5)
Answer: b

Question:The points (6, 1), (8, 2), (9, 4) and (7, 3) are the vertices of a
a) trapezium
b) rectangle
c) square
d) rhombus
Answer: d

Question: The three medians of a Δ PQR intersect at a point S. If the medians are PM, QN & RT and the area of Δ PQR is 90 cm2 , then the area of the quadrilateral MSRN is ________
a) 45 cm2
b) 30 cm2
c) 15 cm2
d) 60 cm2
Answer: b 

Question: If the point P(6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is
a) 4
b) 3
c) 2
d) 1
Answer: d

Question: Which of the following is / are correct? Four points will form :
a) a rectangle, if opposite sides and diagonals are not equal.
b) a parallelogram, if opposite sides are not equal.
c) a square, if all the four sides and diagonals are equal.
d) a right angle triangle, if sum of squares of any two sides is equal to square of third largest side.
Answer: a

Question: The ratio in which the point (2, y) divides the join of (– 4, 3) and (6, 3) and hence the value of y is
a) 2 : 3, y = 3
b) 3 : 2, y = 4
c) 3 : 2, y = 3
d) 3 : 2, y = 2
Answer: c

Question: The points A (– 4, – 1), B (–2, – 4), C (4, 0) and D (2, 3) are the vertices of a
a) Parallelogram
b) Rectangle
c) Rhombus
d) Square
Answer: b 

Question: The point which lies on the perpendicular bisector of the line segmen joining the points P (- 3, - 5) and Q (3, 5) is
a) (-3, 4)
b) (2, -5)
c) (0, 0)
d) (-1, 4)
Answer: c 

Question: The equation of a line, which passes through (3, 4) and the product of whose intercepts on the coordinate axes is 48, is _________
a) 6x + 9y = 48
b) 8x + 9y = 48
c) 4x + 3y = 24
d) 3x + 4y = 24
Answer: c

Question: Ratio in which the line 3x + 4y = 7 divides the line segment joining the points (1, 2) and (–2, 1) is
a) 3 : 5
b) 4 : 6
c) 4 : 9
d) None of the options
Answer: c

Question: The point which divides the line joining the points A (1, 2) and B(–1, 1) internally in the ratio 1 : 2 is
a) (-1/3,5/3)
b) (1/3,5/3)
c) (–1, 5)
d) (1, 5)
Answer: b

Question: The point on the X-axis which is equidistant from the points A(–2, 3) and B(5, 4) is
a) (0, 2)
b) (2, 0)
c) (3, 0)
d) (–2, 0)
Answer: b 

Question: The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0)is
a) 5
b) 12
c) 11
d) 7 +√5
Answer: b

Question: The radius of the circle which passes through the origin (0, 6) and (6, 0) is
a) 12cm
b) 6 cm
c) 3√2 cm
d) 4√2
Answer: c

Question: The area of a triangle formed by the line 4x - 3y + 12 = 0 with the coordinate axes is __________
a) 3 sq unit
b) 4 sq unit
c) 5 sq unit
d) 6 sq unit
Answer: a 

 Question: Find the orthecentre of the triangle ABC having its vertices as A (- 2, - 3), B (2, 1) and C (5, - 2).
a) ( -3, 5)
b) ( -4, 6)
c) (2, 1)
d) (0, 0)
Answer: c

Question: If the mid point of the line joining (3, 4) and (k, 7) is (x, y) and 2x + 2y + 1 = 0. Find the value of k.
a) 10
b) –15
c) 15
d) –10
Answer: b

Question: If the points (a, 0), (0, b) and (1, 1) are collinear then which of the following is true :
a) 1/a + 1/b =2 
b) 1/a - 1/b = 1 
c) 1/a - 1/b = 2 
d) 1/a + 1/b =1
Answer: d

Question: The points (a, b), (a1, b1) and (a – a1, b – b1) are collinear if
a) ab = a1b1
b) ab1 = a1b
c) a = b
d) a1 = b1
Answer: b 

Question: In what ratio does the point (–2, 3) divide the line-segment joining the points (–3, 5) and (4, –9) ?
a) 2 : 3
b) 1 : 6
c) 6 : 1
d) 2 : 1
Answer: b

Question: If P (x , y) is any point on the line joining the points A (a, 0) and B (0, b), then
a) x/b+ y/a = 1 
b) x/a + y/b= 1
c) x/a+ y/b = 1
d) x/b + y/a = 1
Answer: c 

Question: If the point P (p, q) is equidistant from the points A (a + b, b – a) and B (a – b, a + b), then
a) ap = by
b) bp = ay
c) ap + bq = 0
d) bp + aq = 0
Answer: b

Question: The distance between which of the following two points is 2 units?
a) (–2, –3) and (–2, –4)
b) (0, 4) and (0, 6)
c) (7, 2) and (6, 2)
d) (4, –3) and (2, 3)
Answer: b

Question: Which of the following points is 10 units from the origin?
a) (– 6, 8)
b) (– 4, 2)
c) (– 6, 5)
d) (6, 4)
Answer: a

Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Mathematics Application of Trigonometry MCQs

MCQs for Chapter 7 Coordinate Geometry Mathematics Class 10

Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Class 10 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Class 10 Mathematics. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.

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