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Chapter 7 Class 10 Coordinate Geometry | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 360
Question 1 of 5
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Question 1 of 5
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 5
CBSE Board Exam 2024
If the diagonals of a quadrilateral divide each other proportionally, then it is a :
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Question 3 of 5
NCERT Exemplar
The distance of the point \(P(-6,8)\) from the origin is
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Question 4 of 5
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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Question 5 of 5
CBSE Board Exam 2026
In the given figure, \(\triangle \mathrm{ABC}\) is an equilateral triangle. AD is a median of the triangle joining the points \(\mathrm{A}\left(0, \frac{5 \sqrt{3}}{2}\right), \mathrm{D}(0,0)\). Points B and C are (in same order) :
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