Question

If a chord of the circle $x^2$ + $y^2$ = 8 makes equal intercepts of length a on the coordinate axes then $\left|a\right|$ $<$

• A. 2
• B. $\sqrt{2}$
• C. 4
• D. $\sqrt{8}$

Answer 1

The correct option is C 4

Equation of the line with equal intercepts is x + y - a = 0
This line intersects the circle $\Rightarrow$ Radius $>$ perpendicular distance from(0, 0) to the line $\Rightarrow$ $\sqrt{8}$ $>$ $\frac{|a|}{\sqrt{2}}$
$\Rightarrow$ $\left|a\right|$ $<$ 4