Representing Equation on Cartesian Plane

Q.

If the inclination of a line is 45 degrees, then find the slope of the line.

1. 0

2. 1

3. 2

4. -1

Q.

The coordinates of the origin are ...........

1. (0, 1)

2. (0, 0)

3. (0, -1)

4. (1, 0)

Q.

IfIf a1a2=b1b2=c1c2, the system of equations are consistent , coincident lines and have infinite solutions. for the system of equations $a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$ , then :

1. These represent coincident lines

2. The system of equations have infinite solutions

3. only (a) and (b)

4. none of these

Q.

Two numbers are in the ratio of $3:4$. If 4 be added to each, the ratio becomes $4:5$. Find the numbers.

Q.

Question 11
Which of the following is not the graph of a quadratic polynomial?

Q.

A rectangle whose length and breadth are 5 and 3 units respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?

1. (0, 0); (5, 0); (5, 3); (0, 3)

2. (0, 0); (0, 5); (5, 3); (3, 0)

3. (0, 0); (0, 3); (5, 3); (3, 5)

4. (0, 0); (0, 5); (5, 3); (3, 5)

Q. The equation of the line whose slope is 2 and y - intercept is 3 is

1. $y=2x+5$
2. $x=2y+3$
3. $y=2x+3$

Q. Represent the following equations graphically:
$x+y=10$
$10x+y+10y+x=110$

1. 
2. 
3. 
4. None of these

Q. Question 5
The pair of equations x = a and y = b graphically represents line which are
(A) parallel
(B) intersecting at (b, a)
(C) coincident
(D) intersecting at (a, b)

Q. Which among the following equations represents the given graph?

1. $y=2x$
2. $y=-x$
3. $x-y=0$
4. $y=3x+1$

Q.

ABCD is a square on the cartesian plane with A, B and C having coordinates (2, 2), (3, 2) and (3, 1) respectively. Find the coordinates of D.

1. (4, 1)

2. (2, 3)

3. (2, 1)

4. (3, 3)

Q. Two points having same abscissae but different ordinate lie on

(a) x-axis

(b) y-axis

(c) a line parallel to y-axis

(d) a line parallel to x-axis

Q. If in coordinates of a point B(3, -2), signs of both coordinates are interchanged, then it will lie in which quadrant?

Q.

Find the slope of a line which is parallel to the x-axis.

1. -1

2. 1

3. 2

4. 0

Q. The points (-3, 4) and (4, - 3) lie in the _____.

1. same quadrant
2. II and III quadrants, respectively
3. II and IV quadrants, respectively
4. IV and II quadrants, respectively

Q.

2x + 4 = 3x + 1 will represent a.

1. Line parallel to X-axis at distance 3 units upwards

2. Line parallel to X-axis at distance 3 units downwards

3. Line parallel to Y-axis at distance 3 units on right side

4. Line parallel to Y-axis at distance 3 units left side

Q.

Find the slope of line whose inclination is $0^{\circ }$.

Q. A point whose $x$-coordinate is zero and $y$-coordinate is non-zero will lie on the $y$-axis.

1. True
2. False
3. Ambiguous
4. Data insufficient

Q. Choose the equation which depicts the line shown in the following graph:

1. 2x + y = 0
2. 2x - y = 0
3. x + 2y = 0
4. x - 2y = 0

Q.

Write equations of three lines, which pass through $(0,0)$.

Q.

Draw the line passing through $(2,3)\&(3,2)$.Find the coordinates of the points at which this line meets the$x$-axis and $y$-axis.

Q. For $x-axis$ and every line parallel to $x-axis$, the inclination is

1. zero
2. ${90}^0$
3. ${180}^0$

Q. The locus of the centre of the circle for which one end of diameter is (3, 3) while the other end lies on the line (x+y=4) is- (a) x+y=3 (b)x+y=5 (c)x+y=7 (d)x+y=9.

Q.

Find the equation of a line whose slope = -3 and y-intercept =-1.

1. $3x-y+1=0$

2. $y+3x=0$

3. $3x+y+1=0$

4. $y-3x+1=0$

Q.

2x + 4 = 3x + 1 will represent a.

1. Line parallel to X-axis at distance 3 units upwards

2. Line parallel to X-axis at distance 3 units downwards

3. Line parallel to Y-axis at distance 3 units left side

4. Line parallel to Y-axis at distance 3 units on right side

Q. A line passing through two distinct points of a plane is _____ of a plane

Q.

Coordinates of point J shown below is ___

​​

1. J(2, 4)

2. J(4, 1)

3. J(-2, 4)

4. J(4, -1)

Q.

If the point $P(a,5)$ lies on the line $2x-3y-5=0$, then find the value of $a$.

1. $5$

2. $7$

3. $10$

4. $8$

Q.

The ratio in which the line $x+y=4$divides the line joining the points $(-1,1)$ and $\left(5,7\right)$ is

1. $1:2$

2. $2:1$

3. $1:3$

4. $3:1$

5. $3:2$

Q.

ax + by = ab is the equation of straight line which makes intercepts a & b on x & y axis respectively

1. True

2. False