Home
Class 10
MATHS
The pair of equations x = a and y = b gr...

The pair of equations `x = a` and `y = b` graphically represents lines which are

A

parallel

B

intersecting at (b, a)

C

coincident

D

intersecting at (a, b)

Text Solution

Verified by Experts

The correct Answer is:
D

By graphically in every condition, if `a, b gt 0, a, b lt 0, a gt0, b lt 0, a lt 0, b gt 0` but ` a = b !=0`.
The pair of equations x = a and y = b graphically represents lines which are intersecting at (a, b).
If `a, b gt 0`

Similarly, in all cases two lines intersect at (a, b).
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 3.2 Very Short Answer Type Questions|6 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 3.3 Short Answer Type Questions|22 Videos
  • INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPES QUESTIONS|18 Videos
  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

Graphically, the pair of equations 6x - 3y+10 = 0 2x - y + 9 = 0 represents two lines which are

Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y-axis. x+3y=6,\ \ \ 2x-3y=12

Write an equation of a line passing through the point representing solution of the pair of linear equations x+y=2 and 2x-y=1, How many such lines can we find?

Represent the following pair of equations graphically and write the coordinates of point where the lines intersect y-axis. x+3y=6 and 2x-3y=12

Graphically, solve the following pair of equations 2x+y=6 and 2x-y+2=0 Find the ratio of the areas of the two triangles formed by the lines representing these equations with the X-axis and the lines with the y-axis.

Check graphically whether the pair of linear equation 4x-y-8=0 and 2x=3y-6=0 is consistent. Also, find the vertices of the triangle formed by these lines with the x-axis.

The value of lambda for which the equation x^2-y^2 - x - lambda y - 2 = 0 represent a pair of straight line, are

If the equation a x^2-6x y+y^2=0 represents a pair of lines whose slopes are m and m^2, then the value(s) of a is/are

If the equation a x^2-6x y+y^2=0 represents a pair of lines whose slopes are m and m^2, then the value(s) of a is/are

If a pair of linear equations is consistent, then the lines represented by them are