The graph of the line x+ y = 0 passes through the points:

(a, a)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(a, -a)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(-a, -a)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(-a, a)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
B (a, -a)
D (-a, a)
A point lies on a line if its coordinates satisfy the equation of the line.

(a, a): substitute the value of x and y in the equation of line $\to$ a + a = 2a $\neq$ 0 $\to$ x+ y = 0 does not pass through the point (a, a)

(a, -a): substitute the value of x and y in the equation of line $\to$ a + (-a) = 0 $\to$ x+ y = 0 passes through the point (a, -a)

(-a, -a): substitute the value of x and y in the equation of line $\to$ (-a) + (-a) = -2a $\neq$ 0 $\to$ x+ y = 0 does not pass through the point (-a, -a)

(-a, a): substitute the value of x and y in the equation of line $\to$ (-a) + a = 0 $\to$ x+ y =0 passes through the point (-a, a)

Suggest Corrections

Similar questions

y = a^{x}

The line y - x = 0, passes through the point ___.

The graph of the line x - y = 0 passes through the point

(a) $\frac{- 1}{2}, \frac{1}{2}$

(b) $\frac{3}{2}, \frac{- 3}{2}$

(d) (1, 1)

The equation of a line passing through the point of intersection of the lines $x = 0$ and $y = 0$ and through the point (2, 2), is:

State, true or false :

(i) the line $\frac{x}{2} + \frac{y}{3} = 0$ passes through the point (2, 3).

(ii) the line $\frac{x}{2} + \frac{y}{3} = 0$ passes through the point (4, -6).

(iii) the point (8, 7) lies on the line y - 7 = 0

(iv) the point (-3, 0) lies on the line x + 3 = 0

(v) if the point (2, a) lies on the line 2x - y = 3, then a = 5.

Join BYJU'S Learning Program