Description

This mock test of Test: Coordinate Geometry - 2 for Class 9 helps you for every Class 9 entrance exam.
This contains 25 Multiple Choice Questions for Class 9 Test: Coordinate Geometry - 2 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Coordinate Geometry - 2 quiz give you a good mix of easy questions and tough questions. Class 9
students definitely take this Test: Coordinate Geometry - 2 exercise for a better result in the exam. You can find other Test: Coordinate Geometry - 2 extra questions,
long questions & short questions for Class 9 on EduRev as well by searching above.

QUESTION: 1

The point of intersection of X and Y axes is called :

Solution:

QUESTION: 2

The point (2, 3) is at a distance of _______________ units from x-axis :

Solution:

QUESTION: 3

The point (3, 2) is at a distance of _______________ units from y-axis :

Solution:

QUESTION: 4

The point (–3, 2) belongs to Quadrant _______________ :

Solution:

QUESTION: 5

The point (2, –3) belongs to quadrant _______________ :

Solution:

The x value is POSITIVE which means that the point is to the right of the origin.

The y value is NEGATIVE which means that the point is below the origin.

The 4th quadrant is to the right and below the origin,(The bottom right quadrant)

All points in the 4th quadrant have the signs as (+,−)

QUESTION: 6

The point (3, 2) belongs to quadrant _______________ :

Solution:

QUESTION: 7

The point (–2, –3) belongs to Quadrant :

Solution:

QUESTION: 8

The point (–2, 0) lies on :

Solution:

QUESTION: 9

The point (0, –2) lies on :

Solution:

QUESTION: 10

The point (3, 0) lies on :

Solution:

QUESTION: 11

The point (0, 3) lies on :

Solution:
This is because y is also called X=0 and x=0,y=3 so it will lie on positive y axis(+ve y axis)

QUESTION: 12

The distance between the points (–4, 7) and (1, –5) is :

Solution:

QUESTION: 13

The distance of the point (–2, –2) from the origin is :

Solution:
Solving it by Pythagoras theorem the perpendicular will be 2 and the base will also be 2 the distance will be the hypotenuse =>. hÂ² = bÂ² + pÂ² hÂ²= 2Â² + 2Â² hÂ² = 4+4 hÂ²= 8 h=âˆš8 âˆš8 can be written as âˆš2 x âˆš2 x âˆš2 which is equal to 2âˆš2units.

QUESTION: 14

If the distance between points (p, –5), (2, 7) is 13 units, then p is _____________ :

Solution:

** The correct answer is a.**

**Distance between two points (x1,y1) and (x2,y2) can be calculated using the formula −**

**Distance between the points (p,−5) and (2,7)=**

**(2−p)2 +(7−(−5)) 2 =13 **

**(2-p)2 + 144 = 13**

**(2-p)2 + 144 = 169**

**(2-p)2 = 25**

**2-p = 5 or 2-p = -5**

**p = -3 or p = 7**

QUESTION: 15

The points (a, a) (–a, a) and (– (√3) a, (√3)a) form the vertices of an :

Solution:

QUESTION: 16

Find the ratio in which the line joining the points (6, 4) and (1, –7) is divided by x-axis.

Solution:

QUESTION: 17

The points (2, –1), (3, 4), (–2, 3) and (–3, –2) taken in the order from the vertices of _________________:

Solution:

QUESTION: 18

The points (0, 0), (–2, 0) and (3, 0) _________________:

Solution:

QUESTION: 19

The point on Y-axis equidistant from (–3, 4) and (7, 6) is _________________:

Solution:

QUESTION: 20

The point on X-axis equidistant from (5, 4) and (–2, 3) is _________________:

Solution:

QUESTION: 21

The points on X-axis at a distance of 10 units from (11, –8) are :

Solution:

Let P(x, 0) be the point on the x-axis. Then as per the question we have

AP = 10

Hence, the points on the x-axis are (5, 0) and (17,0) .

QUESTION: 22

The points on Y-axis at a distance of 13 units from point (–5, 7) are :

Solution:

Let P(0,y) be the required point on yâˆ’axis.

Now, distance between the point P(0,y) and A(âˆ’5,7) is 13 units.

Now, PA = 13 units

â‡’âˆš(0+5)^2 + (yâˆ’7)^2 = 13

â‡’âˆš25 + y2 + 49 âˆ’ 14y = 13

â‡’âˆšy^2 + 74 âˆ’ 14y = 13

â‡’y^2 âˆ’ 14y + 74 = 169

â‡’y^2 âˆ’ 14y âˆ’ 95 = 0

â‡’y^2 âˆ’ 19y + 5y âˆ’ 95 = 0

â‡’y(yâˆ’19) + 5(yâˆ’19) = 0

â‡’(y+5)(yâˆ’19) = 0â‡’y+5 = 0 or yâˆ’19 = 0

â‡’y = âˆ’5 or y = 19

So, the required points are :(0,âˆ’5) and (0,19)

QUESTION: 23

The coordinates of the centre of a circle passing through (1, 2), (3, –4) and (5, –6) is _________________:

Solution:

QUESTION: 24

The points (–5, 6), (3, 0) and (9, 8) form the vertices of :

Solution:

QUESTION: 25

The points (4, 4), (3, 5) and (–1, –1) from the vertices of :

Solution:

### Coordinate Geometry - Sample Test, Mathematics

Doc | 5 Pages

### Examples: Coordinate Geometry- 2

Video | 07:50 min

### Worksheet (Part - 2) - Coordinate Geometry

Doc | 1 Page

### Coordinate Geometry

Doc | 1 Page

- Test: Coordinate Geometry - 2
Test | 25 questions | 25 min

- Test: Coordinate Geometry- 2
Test | 20 questions | 40 min

- Test: Coordinate Geometry- 2
Test | 10 questions | 10 min

- Test: Coordinate Geometry- 1
Test | 15 questions | 30 min

- MCQ : Coordinate Geometry - 2
Test | 10 questions | 10 min