7. Coordinate Geometry Mathematics class 10 exercise Assignment
7. Coordinate Geometry Mathematics class 10 exercise Assignment ncert book solution in english-medium
NCERT Books Subjects for class 10th Hindi Medium
page 1
This page is under construction.
Page writing is going on.
page 2
This page is under construction.
Page writing is going on.
Assignment
Assignment Chapter - 7
Co-ordinate Geometory
Questions For Practice :
3 Marks Questions:
Q1. Show that the points A (2, -2), B (14, 10), C (11, 13) and D (-1, 1) are
the vertices of a rectangle.
Q2. Determine the ratio in which the points (6, a) divides the join of
A (-3, -1) and B (-8, 9). Also find the value of “a”.
Q3. Find the point on the x-axis which is equidistant from the points (-2, 5)
and (2, -3).find the coordinates of a point which divides internally the
line segment joining the points (-3,-4) and (-8, 7) in the ratio of 7:5.
Q4. Find the value of k for which the points (2, 5), (k, 11/2) and (4, 6) are
collinear.
Q5. Find the lengths of the median of the triangle whose vertices are
(1,-1), (0, 4) and (-5,3) .
Q6. Find the co-ordinates of the points of trisection of the line segment
joining the points (3, -3) and (6, 9).
Q7. The center of a circle of radius 13 units is the point (3, 6). P (7, 9) is
a point inside the circle. APB is a chord of the circle such that
AP = PB. Calculate the length of AB.
Q8. The co-ordinates of the mid-point of the line joining the points (3p, 4)
and (-2, 2q) are (5, p). Find the values of p and q.
Q9. If ‘a’ is the length of one of the sides of an equilateral triangle ABC
base BC lies on x-axis and vertex B is at the origin, find the
coordinates of the vertices of the triangle ABC.
Q10. The coordinates of the mid-point of the line joining the points
(2p+1, 4) and (5, q – 1) are (2p, q). Find the value of p and q.
Q11. Find the value of K for which the points with coordinates (3, 2), (4, K)
and (5, 3) are collinear.
Q12. A is a point on the y-axis whose ordinate is 5 and B is the point
(-3, 1). Calculate the length of AB.
Q13. The distance between A (1, 3) and B(x, 7) is 5. Find the possible
values of x
Q14. Show that the points (3, 3), (9, 0) and (12, 21) are the vertices of a
right angled triangle.
Q15. The center of a circle is (1, -2) and one end of a diameter is (-3, 2),
find the co-ordinates of the other end.
Q16. Find the area of the quadrilateral whose vertices , taken in order
are (-6,-2), (-3,-5) ,(4,-2) and (2,4)
Q17. Find area of the square whose points are A(5,6) B( 1,5) C(2,1)
D( 6,2).
Q18. Determine the ratio in which the points P (m, 6) divides the join of
A (-4, 3) and B (2, 8). Also find the value of m.
Q19. Find the value of p for which the points (-1, 3), (2, p) and (5,-1)
are collinear.
Q20. Calculate the ratio in which the line joining A (6, 5) and B (4,-3) is
divided by the line y=2. Also find the point of division.
Q21. If the points (x,y) is equidistant from the points (2,1) and (1,-2).
Show that x+3y=0.
Q22. Show that the points (1, 1), (-1,-1) and ( form an isosceles triangle.
Q23. Find the coordinates of third side of the triangle if its two vertices
are (-1, 4) and (5, 2) and mid point of one side is (0, 3).
Q24. Find area of triangle formed by (5, 6), (8, 9) and (2, 1).
Q25. Show that the points (0, -1), (-2, 3), (6, 7) and (8, 3) are the vertices
of a rectangle.
Q26. The points A (0, 3), B (-2, a) and C (-1, 4) are the vertices of a right
angled triangle at A, find the value of a.
Q27. Find the value of k for which the points with coordinates (7, 5),
(k, 11/2) and (2, 6) are collinear.
Select Class for NCERT Books Solutions
NCERT Solutions
NCERT Solutions for class 6th
NCERT Solutions for class 7th
NCERT Solutions for class 8th
NCERT Solutions for class 9th
NCERT Solutions for class 10th
NCERT Solutions for class 11th
NCERT Solutions for class 12th
sponder's Ads
Mathematics Chapter List
1. Real Numbers
2. Polynomials
3. Pair of Linear Equations in Two Variables
4. Quadratic Equations
5. Arithmetic Progressions
6. Triangles
7. Coordinate Geometry
8. Introduction to Trigonometry
9. Some Applications of Trigonometry
10. Circles
11. Constructions
12. Areas Related to Circles
13. Surface Areas and Volumes
14. Statistics
15. Probability
sponser's ads