At how many points does the straight line x + y = 2 intersects the circle |z - 2| = 2?

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

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

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

Open in App

Solution

The correct option is B
2

|z – 2| = 2 is a circle with centre (2, 0) and radius 2. x + y = 2 passes through (2, 0) $\Rightarrow$ It is a diameter of the circle $\Rightarrow$ It cuts the circle at two points

Suggest Corrections

Similar questions

A given circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ touches the x-axis and intersects the y-axis at 2 points. How many values of x are possible for y = 0.

Q. The straight line

x - 2 y + 1 = 0

intersects the circle

x^{2} + y^{2} = 25

in points T and T', find the co-ordinates of a point of intersection of tangents drawn at T and T' to the circle.

Q. If the straight line

m x - y = 1 + 2 x

intersects the circle

x^{2} + y^{2} = 1

at least at one point, then the set of values of m is

Q. The line

y - m x + c

intersect the circle

x^{2} + y^{2} = r^{2}

at two points if

Q. The circle

x^{2} + y^{2} = 4 x + 8 y + 5

intersects the line

3 x - 4 y = m

at two distinct points if :-

Join BYJU'S Learning Program

At how many points does the straight line x + y = 2 intersects the circle |z - 2| = 2?

The correct option is B 2 |z – 2| = 2 is a circle with centre (2, 0) and radius 2. x + y = 2 passes through (2, 0) ⇒ It is a diameter of the circle ⇒ It cuts the circle at two points

The correct option is B
2

|z – 2| = 2 is a circle with centre (2, 0) and radius 2. x + y = 2 passes through (2, 0) $\Rightarrow$ It is a diameter of the circle $\Rightarrow$ It cuts the circle at two points