Prove that the locus of a point that is ...

Prove that the locus of a point that is equidistant from both axis is y=x.

Text Solution

Verified by Experts

The correct Answer is:

`LHS=RHS`

Topper's Solved these Questions

PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|1 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS ENGLISH|Exercise Exercise For Sesssion 1|20 Videos
PRODUCT OF VECTORS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos
SEQUENCES AND SERIES
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Prove that the locus of a point equidistant from the extermities of a line segment is the perpendicular bisector if it.

Find the locus of a point which is equidistant from (1,3) and x-axis.

On a graph paper, draw the lines x=3 and y=-5 . Now, on the same graph paper, draw the locus of the point which is equidistant from the given lines.

Find the equation of the locus of a point P which is equidistance from the st. line 3x-4y+2=0 and the origin.

Show that the locus of a point equidistant from a fixed point is a circle with the fixed point as centre.

Determined the equation to the locus of the point which is equidistant from the points ( 2 , - 2 , - 4) and ( - 3 , 1 , 2) .

Find the equation of the locus of a point whose distance from the y-axis is equal to its distance from (2,1,-1).

Find the locus of the point such that its distance from the x-axis is half its distance from the y-axis.

Statement 1: Each point on the line y-x+12=0 is equidistant from the lines 4y+3x-12=0,3y+4x-24=0 Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of the two lines.

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)

Prove that the locus of a point that is equidistant from both axis is ...
Text Solution
|
In a triangle XYZ, let x, y, z be the lengths of sides opposite to the...
Text Solution
|
In a triangle the sum of two sides is x and the product of the same is...
Text Solution
|
Consider a triangle A B C and let a , ba n dc denote the lengths of th...
Text Solution
|
about to only mathematics
Text Solution
|
Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...
Text Solution
|
If the angle A ,Ba n dC of a triangle are in an arithmetic propression...
Text Solution
|
Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...
Text Solution
|
A triangle A B C with fixed base B C , the vertex A moves such that co...
Text Solution
|
Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...
Text Solution
|
A straight line through the vertex P of a triangle P Q R intersects th...
Text Solution
|
Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...
Text Solution
|
Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...
Text Solution
|
Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...
Text Solution
|
Internal bisector of /A of triangle ABC meets side BC at D. A line dra...
Text Solution
|
One angle of an isosceles triangle is 120^0 and the radius of its incr...
Text Solution
|
In Delta ABC, which one is true among the following ?
Text Solution
|
Let a vertical tower A B have its end A on the level ground. Let C be ...
Text Solution
|
ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...
Text Solution
|
For a regular polygon, let r and R be the radii of the inscribed and t...
Text Solution
|
In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...
Text Solution
|