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Special Case When X = a = 0

The point of ...

Question

The point of the form (a, a) always lines on

A

x-axis

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B

y-axis

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C

y = x

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D

x + y = 0

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Solution

The correct option is B y = x
The stationary point can lies on many lines ,But point $(a, a)$ always lies on line $y = x$ ,because in this line both $x$ and $y$ coordinates are same

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Similar questions

Match the following:

(A)	On the x-axis	(i)	x coordinate is negative
(B)	In the second quadrant	(ii)	cuts the y-axis at (0, 4)
(C)	The line y = 3x + 4	(iii)	coordinates of a point are of the form (a, 0)

Q. The range of values of the ordinate of a point moving on the line

x = 1

and always remaining in the interior of the triangle formed by the lines

y = x

, the X-axis and

x + y = 4

Q. For the line parallel to x-axis

Points & Coordinates	A	B	C	D
x	1	4	3	6
y	2	0	3	2
(x , y)	(1 , 5)	(4 , 0)	(1, 3)	(6 , 2)

For the line parallel to y-axis

Points & Coordinates	P	Q	R	S
x	0	1	3	1
y	2	0	4	4
(x , y)	(0, 2)	(1, 0)	(3 , 4)	(1 , 4)

(i) In the table for the line parallel to x-axis for any value of x , y is always _____________
(ii) In the table for the line parallel to y-axis for any value of y, x is always _____________
(iii) So, the equation of the line parallel to x-axis is y = __________ it can also be written as 0x + y = __________
(iv) So, the equation of the line parallel to y-axis is x = __________ it can also be written as x + 0y = __________

Q. Question 18
The point of the form (a, a) always lies on:

A) x-axis
B) y-axis
C) The line y = x
D) The line x + y = 0

Form the differential equation of the family of hyperbolas having foci on x-axis and centre at origin.

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