** ****7. COORDINATE GEOMETRY**

Hi friends and my dear students! In this post, I have covered **Important questions for 10**^{th}** class maths chapter-7 ****Coordinate Geometry****, Chapter wise previous year Questions. **After Reading Please do share it with your friends. **Learn maths for All classes here**

**PRIORITY-I**

1
MARK QUESTIONS

1. What is the distance between A (4,
0) and B (8, 0)?

2. Find the slope of the line passing
through the points A(0,4) and B(4,0)

3. What is the distance between A (8,
3) and B (-4, 3)?

4. Find the distance between the points
origin and A (7, 4)?

5. Find the distance between A (2, 0)
and B (0, 4)?

6. Find the distance between A (4, 2)
and B (8, 6)?

7. Find the midpoint of line segment
joining the points (3, 0) and (1, -4)?

8. Find the centroid of the triangle
whose vertices are (3, -5), (-7, 4) and (10, -2)?

9. The points (2, 3), (x, y) and (3,-2)
are vertices of a triangle. If the centroid of this triangle is again(x, y),
find (x, y)?

10. The end points of line are (2, 3)
and (4, 5). Find the slope of the line?

11. Find the slope of the line AB with
A (4, -6) and B (7, 2)?

2
MARKS QUESTIONS

12. Find the distance between A (2, 3)
and B(4,1)?

13. If the distance between (2,-3) and
(10,y) is 10 units then find y

14.
Name the type of quadrilateral formed by the points(-1,-2),(1,0), (-1,2),
(-3,0) and give reasons for your answer

16. In what ratio does the point (-4,6)
divide3s the line segment joining the points A(-6,10) and B(3,-8)

17. Find the point on x-axis which is
equidistant from (2,-5) and (-2, 9)?

18. If the distance between two points
(x, 7) and (1, 15) is 10. Find x?

19. Find the radius of the circle whose
Centre is (3, 2) and passes through (-5,6)?

20. Find the coordinates of the point
which divides the line segment joining the points (4,-3) and (8, 5) in the
ratio 3:1 internally?

21. In what ratio does the point (-4,6)
divide the line segment joining the points A(-6,10) and B(3,-8)?

22. Find the ratio in which the y-axis
divide the line segment joining the points (5,-6) and (1,-4). Also find the
point of intersection?

23. Find the area of triangle whose
vertices are (1,-1), (-4, 6) and (-3,-5)?

24. Find the area of triangle formed by
the points A (5, 2), B (4, 7) and C (7, -4)?

25. The points (3,-2), (-2,8) and (0,4)
are three points in a plane. Show that these points are collinear?

26. Find the value of b for the points
(1, 2) (-1, b) and (-3, -4) are collinear?

27. Determine the x so that 2 is the slope of the line through P (2, 5) and Q (x, 3)?

Also Check

**Important questions for 10th class maths chapter-1 Real numbers**

**Important questions for 10th class maths chapter-4**** **LINEAR EQUATIONS

Important questions for 10th class maths chapter-3 polynomial

4
MARKS QUESTIONS:

28. Show that the points A (4, 2), B
(7, 5), C (9, 7) are lie on a same plane?

29. Find the coordinates of points
which divide the line segment joining A(-4,0) and B(0,6) into four equal

30. Show that the points (1, 7), (4,
2), (-1, -1) and (-4, 4) are vertices of square?

31. Find a relation between x and y
such that the point (x, y) is equidistant from the points (7, 1) and (3, 5)?

32. Find a point on the y-axis which is
equidistant from the points A (6, 5) and B (-4, 3)?

33. Verify the points (1, 5), (2, 3)
and (-2, -1) are collinear or not?

34. Show that the points A (a, o), B
(-a, o), C (0, a) are form an equilateral triangle?

35. Show that the points (-4, -7), (-1,
2), (8, 5) and (5,-4) are vertices of rhombus?

36. Find the coordinates of the points
of trisection of the line segment joining the points A (2, -2) and B (-7, 4)?

37. Find the coordinates of the points
of trisection of the line segment joining the points A (2, 6) and B (-4, 8)?

38. Show that the points (7, 3), (6,
1), (8, 2) and (9, 4) are vertices of parallelogram.?

39. If the points A( 6,1),B (8,2),
C(9,4) and D(p,3) are the vertices of a parallelogram, find p?

40.
If A(-5,7), B(-4,-5),C(-1,-6) and D(4,5) are the vertices of a quadrilateral
,then find the area of quadrilateral ABCD?

41. Find the area of a triangle whose
lengths of sides are 15m, 17m, 21m, use Heron’s formula and verify your answer
by using the formula A= ½ bh?

42. Find the area of a triangle formed
by the points (0,0),(4,0),(4,3) by using Heron’s formula?

43. Find the area of a triangle formed
by joining midpoints of the sides of the triangle whose vertices are (0,-1),
(2,1),and (0,3). Find the ratio of this area to the area of the given triangle?

44. Find the area of quadrilateral
whose vertices are (-4,-2),(-3,-5),(3,-2) and (2,3)?

45.
Find the area of a triangle formed by the points (2,3),(-1,3),(2,-1) by using
Heron’s formula?

PRIORITY II:

1
MARK QUESTIONS:

1. Find the slope of line joining (2,3)
and (2,6)

2. If the line 2x+3y=k passes through
origin, find ‘k’

3. Find midpoint of points(2,7) and
(12,-7)

4. Write the co-ordinates of p which
divides the line segment joining A(x1,y1) and B(x2,y2) in the ratio m1:m2

5. Find the slope of line perpendicular
to 2x+3y+5=0

6. Which points are called collinear
points?

7. Write area of triangle using heron’s
formulae

8.
What do you meant by trisectional points of a line?

9. A,B and C are any three points such
that AB+BC=AC what can you say about the points

10. Name quadrant to which the
following points belongs (-3,7),(8,1)

11. Write the angle made by bisector of
first quadrant

12. Find perpendicular distance of
A(5,12) from y-axis

13. If C(2,p) is a point on the line
segment joining the points A(6,5) and B(2,11) explain condition for the point
‘C’ to become the midpoint of AB

14. Which of the points Q(3,5) and
R(-1,1) are nearer to the point p(4,4)

15. Write the distance between
A(a+b,a-b),B(a-b, a+b)

16. Write the formulae to find distance
between two points on the same horizontal line and vertical line

17. Mention the coordinate axis on
which the points (0,6),(0,-2),(0, √2)

18. Find the distance between the point
p(cosα , -sinα )and Q(-cosα , sinα )

19. (3,-4) is a point on a circle whose
center is origin. Guess the radius of the circle.

2MARKS
QUESTIONS:

20. If p=(2,5), Q=(x,-7) find the
possible value of x so that PQ=13

21. Find the distance between
points(acosx,0) and (0,asinx)

22.
Find are area of triangle formed by vertices(3,0), (0,4), (0,0)

23. In what ratio is segment joining
the points (-3,2) and(6,1) divide by y-axis

24. If p(b+c,c+a) and Q(c+a,a+b) find
PQ

25. An ant is at (4,5) on graph sheet
mounted of a wall. If it moves to a point (5,2) and turns to reach another
point (3,6) find the distance travelled by the ant.

26. Find the coordinates of the
centroid of the triangle, whose vertices are(-4,4), (-2,2) and(6,12)

27. Find the coordinates of the centre
of circle having the points (9,3) and (1,-1) as the end points of the diameter

28. If you plot the points (0,0),
(2,0), (2,2), (0,2) and join them in order. Name the quadrilateral so obtained
based on your observations

4 MARKS
QUESTIONS:

1. Vertices of a triangle ABC are
A(3,5), B(7,4) and C(10,8). The midpoints of the sides BC,CA and AB are D,E and
F respectively are the centroid of and are same or not

2. If the
distances of p(x,y) from A(a+b,b-a) and B(a-b,a+b) are equal, then prove that a
/ b=x/ y

3. If p(x,y) is
any point on the line joining the points A(a,0) and B(0,b) then show that x/a+y/b=1

4. Prove that the area of triangle whose3
vertices are(t,t-2),(t+2,t+2) and (t+3,t) is independent of t

5. Prove that the midpoint of the hypotenuse of a right angled
triangle is equidistant from its vertices.

6. The line joining points A(6,9) and B(-6,-9) are given

i. in which ratio does origin divide AB? And what it is called for
AB ?

ii.in which ratio does the point P(2,3) divide AB? iii.in which
ratio does the point q(-2,-3) divide AB

iv. In how many equal parts is AB divided by P and Q

v. what do we call P and Q
for AB?

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