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10 Question MCQ (including Assertion)

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Chapter 7 Class 10 Coordinate Geometry | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 10
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Question 1 of 10
CBSE Board Exam 2024
Assertion (A) : The point which divides the line segment joining the points \(A(1,2)\) and \(B(-1,1)\) internally in the ratio \(1: 2\) is \(\left(\frac{-1}{3}, \frac{5}{3}\right)\)

Reason (R) : The coordinates of the point which divides the line segment joining the points \(\mathrm{A}\left(x_1, y_1\right)\) and \(\mathrm{B}\left(x_2, y_2\right)\) in the ratio \(\mathrm{m}_1: \mathrm{m}_2\) are \(\left(\frac{\mathrm{m}_1 x_2+\mathrm{m}_2 x_1}{\mathrm{~m}_1+\mathrm{m}_2}, \frac{\mathrm{~m}_1 \mathrm{y}_2+\mathrm{m}_2 \mathrm{y}_1}{\mathrm{~m}_1+\mathrm{m}_2}\right)\)
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Question 2 of 10
CBSE Board Exam 2026
The distance between the points \((a \cos \theta+b \sin \theta, 0)\) and \((0, a \sin \theta-b \cos \theta)\) is
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Question 3 of 10
CBSE Board Exam 2013
The point on the x -axis which is equidistant from points \((-1,0)\) and \((5,0)\) is
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Question 4 of 10
CBSE Board Exam 2026
For a point \(\mathrm{X}(\mathrm{a}, \mathrm{b})\) where \((\mathrm{b}>\mathrm{a}>0)\), the value of its [distance from x -axis - distance from y -axis] is :
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Question 5 of 10
CBSE Board Exam 2014
If \(P(2,4), Q(0,3), R(3,6)\) and \(S(5, y)\) are the vertices of a parallelogram \(P Q R S\), then the value of \(y\) is
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Question 6 of 10
CBSE Board Exam 2026
The distance of a point \(\mathrm{P}(3,-7)\) from y -axis is :
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Question 7 of 10
CBSE Board Exam 2026
In the given figure, a circle is centred at \((1,2)\). The diameter of the circle is
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Question 8 of 10
NCERT Exemplar
A circle drawn with origin as the centre passes through \(\left(\frac{13}{2}, 0\right)\). The point which does not lie in the interior of the circle is
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Question 9 of 10
CBSE Board Exam 2025
Two of the vertices of \(\triangle \mathrm{PQR}\) are \(\mathrm{P}(-1,5)\) and \(\mathrm{Q}(5,2)\). The coordinates of a point which divides \(P Q\) in the ratio \(2: 1\) are :
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Question 10 of 10
NCERT Exemplar
The points \(A(9,0), B(9,6), C(-9,6)\) and \(D(-9,0)\) are the vertices of a
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