The equation of two lines making an angle 45^{\circ} with a given line \overline{ {a}} z+ {az}+b=0 (where 'a' is a complex number and b is real) and passing through a given point c (c is a complex number), is/are:

\frac{z+c}{a}+i( {\overline{z}-\overline{c}}/{a})=0

\frac{z-c}{a}+i \frac{z-c}{a}=0

\frac{z-c}{a}-i( {\overline{z}-\overline{c}}/{a})=0

\frac{z+c}{a}-i \frac{z-c}{a}=0

JEE Advanced 2020 Full Test 2 Paper 2

Question : 40 of 54

Marks: +1, -0

The equation of two lines making an angle 45∘ with a given line az+az+b=0 (where 'a' is a complex number and b is real) and passing through a given point c (c is a complex number), is/are:

‌
z+c
a
+i(‌
z−c
a
)=0
‌
z−c
a
+i‌
z−c
a
=0
‌
z−c
a
−i(‌
z−c
a
)=0
‌
z+c
a
−i‌
z−c
a
=0

Validate

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