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RS Aggarwal Test: Coordinate Geometry - Class 10 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 10 - RS Aggarwal Test: Coordinate Geometry

RS Aggarwal Test: Coordinate Geometry for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The RS Aggarwal Test: Coordinate Geometry questions and answers have been prepared according to the Class 10 exam syllabus.The RS Aggarwal Test: Coordinate Geometry MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RS Aggarwal Test: Coordinate Geometry below.
Solutions of RS Aggarwal Test: Coordinate Geometry questions in English are available as part of our Mathematics (Maths) Class 10 for Class 10 & RS Aggarwal Test: Coordinate Geometry solutions in Hindi for Mathematics (Maths) Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt RS Aggarwal Test: Coordinate Geometry | 10 questions in 10 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Mathematics (Maths) Class 10 for Class 10 Exam | Download free PDF with solutions
RS Aggarwal Test: Coordinate Geometry - Question 1

The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is

Detailed Solution for RS Aggarwal Test: Coordinate Geometry - Question 1

mid point(x,y)=(-2+-6)/2,(8+-4)/2=(-4,2)

RS Aggarwal Test: Coordinate Geometry - Question 2

The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is

Detailed Solution for RS Aggarwal Test: Coordinate Geometry - Question 2

∵ AOB is a right triangle.
∴ Mid-point of AB is equidistant from A, O and B. 

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RS Aggarwal Test: Coordinate Geometry - Question 3

The distance of the point P (2, 3) from the x-axis is

Detailed Solution for RS Aggarwal Test: Coordinate Geometry - Question 3

To find the distance of point P(2, 3) from the x-axis:

- The distance from a point (x, y) to the x-axis is the absolute value of the y-coordinate.
- For point P(2, 3), the y-coordinate is 3.
- Therefore, the distance of point P from the x-axis is 3.
- Hence, the correct answer is B: 3.

RS Aggarwal Test: Coordinate Geometry - Question 4

If   is the mid-point of the line segment joining the points Q (-6, 5) and E (-2, 3), then the value of a is

Detailed Solution for RS Aggarwal Test: Coordinate Geometry - Question 4



So, a/3 = -4 ⇒ a = -12

RS Aggarwal Test: Coordinate Geometry - Question 5

The distance of the point P (-6, 8) from the origin is

RS Aggarwal Test: Coordinate Geometry - Question 6

The points (k + 1, 1), (2k + 1, 3) and (2k + 2, 2k) are collinear if

Detailed Solution for RS Aggarwal Test: Coordinate Geometry - Question 6

∵ Points are collinear.
∴ (k + 1) (3 - 2k) + (2k, + 1) (2k - 1) + (2k + 2) (1 - 3) = 0
⇒ 3k+3 - 2k2 - 2k + 4k- 1 - 4k - 4 = 0 ⇒ 2k2 - 3k - 2 = 0
⇒ 2k- 4k + k - 2 = 0
⇒ 2k(k - 2) + 1(k - 2) = 0
⇒ (2k + 1) (k - 2) = 0

RS Aggarwal Test: Coordinate Geometry - Question 7

The point A (-5, 6) is at a distance of

RS Aggarwal Test: Coordinate Geometry - Question 8

The coordinates of the point which is equidistant from the three vertices of the triangle shown in the given Fig. 6.6 are

RS Aggarwal Test: Coordinate Geometry - Question 9

The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is

RS Aggarwal Test: Coordinate Geometry - Question 10

The points which lies on the perpendicular bisector of the line segment joining the points A (-2, -5), B (2, 5) is 

Detailed Solution for RS Aggarwal Test: Coordinate Geometry - Question 10

 


     
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