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CBSE Class 10 Maths Chapter 7 Coordinate Geometry Model Questions - 2 Marks - Part 1
Deepa Maths Academy • Global Examination Portal

CBSE Class 10 Maths Chapter 7 Coordinate Geometry Model Questions - 2 Marks - Part 1

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Portal ID: DMA-EXAM-2026 • Security: Encrypted • Status: Active Examination

SECTION B — Very Short Answer Type Questions [2 Marks Each]

  • 2 Marks Q1. Find the distance between the points $P(-6, 7)$ and $Q(-1, -5)$
  • 2 Marks Q2. Find the distance of the point $P(5, -12)$ from the origin.
  • 2 Marks Q3. Find the value of $x$ for which the distance between the points $P(2, -3)$ and $Q(x, 5)$ is $10$ units.
  • 2 Marks Q4. Verify whether the points $(1, 5)$, $(2, 3)$, and $(-2, -11)$ are collinear.
  • 2 Marks Q5. Determine if the points $(5, -2)$, $(6, 4)$, and $(7, -2)$ are the vertices of an isosceles triangle
  • 2 Marks Q6. Find a point on the $y$-axis which is equidistant from the points $A(6, 5)$ and $B(-4, 3)$.
  • 2 Marks Q7. Find a point on the $x$-axis which is equidistant from $(2, -5)$ and $(-2, 9)$.
  • 2 Marks Q8. Show that the points $(1, 7)$, $(4, 2)$, $(-1, -1)$, and $(-4, 4)$ are the vertices of a square
  • 2 Marks Q9. Name the type of quadrilateral formed, if any, by the points $(-1, -2)$, $(1, 0)$, $(-1, 2)$, and $(-3, 0)$, and give reasons for your answer.
  • 2 Marks Q10. Find the coordinates of the point equidistant from three given points $A(5, 3)$, $B(5, -5)$, and $C(1, -5)$.
  • 2 Marks Q11. If the points $(x, y)$ is equidistant from the points $(3, 6)$ and $(-3, 4)$, prove that $3x + y = 5$.
  • 2 Marks Q12. Find the radius of a circle with center $(0, 0)$ and passing through the point $(3, 4)$.
  • 2 Marks Q13. Find the distance between the points $(a \cos \theta, 0)$ and $(0, a \sin \theta)$.
  • 2 Marks Q14. If the distance between the points $(4, p)$ and $(1, 0)$ is $5$, find the value of $p$.
  • 2 Marks Q15. Check whether the points $(3, 2)$, $(4, -2)$, and $(7, -2)$ form a right-angled triangle.
  • 2 Marks Q16. Find the coordinates of the point which divides the join of $(-1, 7)$ and $(4, -3)$ in the ratio $2:3$.
  • 2 Marks Q17. Find the coordinates of the points of trisection of the line segment joining $(4, -1)$ and $(-2, -3)$.
  • 2 Marks Q18. Find the mid-point of the line segment joining the points $(3, 4)$ and $(5, 6)$.
  • 2 Marks Q19. Find the ratio in which the line segment joining $(-3, 10)$ and $(6, -8)$ is divided by $(-1, 6)$.
  • 2 Marks Q20. Find the ratio in which the $x$-axis divides the line segment joining the points $(1, -5)$ and $(-4, 5)$. Also find the coordinates of the point of division.
  • 2 Marks Q21. Find the ratio in which the $y$-axis divides the line segment joining the points $(5, -6)$ and $(-1, -4)$.
  • 2 Marks Q22. If the points $A(6, 1)$, $B(8, 2)$, $C(9, 4)$, and $D(p, 3)$ are the vertices of a parallelogram taken in order, find the value of $p$
  • 2 Marks Q23. Find the coordinates of a point $A$, where $AB$ is the diameter of a circle whose center is $(2, -3)$ and $B$ is $(1, 4)$.
  • 2 Marks Q24. If $A$ and $B$ are $(-2, -2)$ and $(2, -4)$ respectively, find the coordinates of $P$ such that $AP = \frac{3}{7}AB$ where $P$ lies on the line segment $AB$.
  • 2 Marks Q25. Find the coordinates of the points which divide the line segment joining $A(-2, 2)$ and $B(2, 8)$ into four equal parts.

Academic Repository Disclaimer & எச்சரிக்கை அறிவிப்பு :

English: These model solutions are structured to global academic standards for self-assessment and practice purposes. Students are advised to verify with official textbooks for board examinations.

தமிழ்: இந்த மாதிரி கணிதத் தீர்வுகள் மாணவர்களின் சுய கற்றல் மற்றும் பயிற்சித் திறனுக்காக உலகளாவிய கல்வித் தரத்தில் உருவாக்கப்பட்டுள்ளன. தேர்வுகளுக்குத் தயாராகும் போது உங்கள் அதிகாரப்பூர்வ பாடப்புத்தகத்துடன் சரிபார்க்கவும்.

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