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Important Questions: Coordinate Geometry - Free MCQ Test with solutions


MCQ Practice Test & Solutions: Important Questions: Coordinate Geometry (10 Questions)

You can prepare effectively for Class 10 Online MCQ Tests for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Important Questions: Coordinate Geometry". These 10 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Important Questions: Coordinate Geometry - Question 1

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is

Detailed Solution: Question 1

Let’s consider the points as:A = (2, -2)B = (-1, x)Given that AB = 5 units.Using the distance formula:AB² = (x₂ - x₁)² + (y₂ - y₁)²Substituting the values:5² = (-1 - 2)² + (x + 2)²25 = (-3)² + (x + 2)²25 = 9 + (x + 2)²Subtracting 9 from both sides:16 = (x + 2)²Taking the square root of both sides:x + 2 = ±4So, x = -2 + 4 = 2 or x = -2 - 4 = -6.Therefore, one of the values of x is 2.

Important Questions: Coordinate Geometry - Question 2

A triangle with vertices (4, 0), (- 1, - 1) and (3, 5) is a/an

Detailed Solution: Question 2

Let A(4, 0), B(-1, -1), C(3, 5)

⇒ AB2 + AC2 = BC2 and AB = AC
Hence, triangle is an isosceles right-angled triangle.

Important Questions: Coordinate Geometry - Question 3

The points A (9, 0), B (9, 6), C (-9, 6) and D (-9, 0) are the vertices of a

Detailed Solution: Question 3

AB= √(9-9)²+(6-0)²=6
BC= √(-9-9)²+(6-6)²=18
CD = √(-9+9)²+(0-6)²=6
DA = √(-9-9)²+(0-0)²=18
so,it's opposite sides are equal,hence it is rectangle

Important Questions: Coordinate Geometry - Question 4

The points (- 4,0), (4, 0) and (0,3) are the vertices of a/an

Detailed Solution: Question 4

Isosceles triangle.

Important Questions: Coordinate Geometry - Question 5

The distance between the points A (0, 6) and B (0, -2) is

Detailed Solution: Question 5

Since both these points lie on a straight line i.e x axis, distance will be the difference between the respective y coordinates
(0,-2) & (0,6)  =>  6-(-2)) = 6+2 = 8

Important Questions: Coordinate Geometry - Question 6

A circle drawn with origin (0,0) as the centre passes through the point  The point which does not lie in the interior of the circle is

Detailed Solution: Question 6

Important Questions: Coordinate Geometry - Question 7

The distance between the points A (0, 7) and B (0, -3) is

Detailed Solution: Question 7

Since both these points lie on a straight line i.e x axis, distance will be the difference between the respective y coordinates

(0,-3)   (0,7)

7-(-3) = 7+3 = 10

Important Questions: Coordinate Geometry - Question 8

If the distance between the points (4,p) and (1,0) is 5 units, then the value of p is

Detailed Solution: Question 8

Important Questions: Coordinate Geometry - Question 9

The end points of diameter of circle are (2, 4) and (-3, -1). The radius of the circle is

Detailed Solution: Question 9

Important Questions: Coordinate Geometry - Question 10

If P(1, 2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelogram PQRS, then

Detailed Solution: Question 10




Diagonals of parallelogram bisect each other.

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