MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Graphical Representation of a Linear Equation in 2 Variables

Match the fol...

Question

Match the following columns:

Column I Column II

(a) Equation of x-axis is (p) (a, 0)

(b) Equation of y-axis is (q) y = 0

(c) Any point on x-axis is of the form (r) (0, b)

(d) Any point on y-axis is of the form (s) x = 0

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Open in App

Solution

(a)-(q), (b)-(s), (c)-(p) and (d)-(r)

Explanation:
(a) As the points that lie on the x-axis have their ordinates equal to 0, the equation of the x-axis will be y = 0.
(b) As the points that lie on the y-axis have their absiccae equal to 0, the equation of the y-axis will be x = 0.
(c) Any point on the x-axis is of the form (a,0).
(d) Any point on the y-axis is of the form (0,b).

Suggest Corrections

thumbs-up

0

Similar questions

Q. Match the following columns:

Column I	Column II
(a) Any line parallel to the x-axis is	(p) 3
(b) Any line parallel to the y-axis is	(q) y = mx
(c) Any line passing through the origin is	(r) x = k
(d) If the point (−2, 2) lies on the line ax + 4y = 2, then a =	(s) y = k

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Q. Match the following columns:

Column I	Column II
(a) The point A(−3, 0) lies on	(p) y-axis
(b) The point B(−5, −1) lies in quadrant	(q) IV
(c) The point C(2, −3) lies in quadrant	(r) III
(d) The point D(0, −6) lies on	(s) x-axis

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Q. Match the following columns:

Column I	Column II
(a) The equation of a line parallel to the x-axis is	(p) y = mx
(b) The equation of a line parallel to the y-axis is	(q) $\frac{5}{2}$
(c) The equation of a line through the origin is	(r) x = k
(d) If the point (2, 3) lies on the graph of the equation 3y = ax + 4, then a =	(s) y = k

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Q. Match the following columns:

Column I	Column II
(a) Solution of $a x + b y = a - b, b x - a y = a + b is . . . . . . .$	(p) $x = 2, y = - 2$
(b) Solution of $3 x - 2 y = 10, 5 x + 3 y = 4 is . . . . . . .$	(q) $x = a, y = b$
(c) Solution of $2 x - y = 5, 3 x + 2 y = 11 is . . . . . . .$	(r) $x = 1, y = - 1$
(d) Solution of $x + y = a + b, a x - b y = a^{2} - b^{2} is . . . . . . .$	(s) $x = 3, y = 1$

Q. Match the following columns:

Column I	Column II
(a) A line segment has a	(p) Infinitely many
(b) A ray $\underset{B A}{\to}$ has the end point	(q) definite length
(c) How many lines can pass through a given point?	(r) B
(d) How many lines can pass through two given points?	(s) Only one

(a) ........
(b) ........
(c) ........
(d) ........

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Graph of a Linear Equation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Graphical Representation of a Linear Equation in 2 Variables

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon