1
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $$f(x) = {{x - 1} \over {x + 1}},\,x \in R - \{ 0, - 1,1\} $$. If $${f^{n + 1}}(x) = f({f^n}(x))$$ for all n $$\in$$ N, then $${f^6}(6) + {f^7}(7)$$ is equal to :

A
$${7 \over 6}$$
B
$$ - {3 \over 2}$$
C
$${7 \over {12}}$$
D
$$ - {{11} \over {12}}$$
2
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Let $$A = \left\{ {z \in C:\left| {{{z + 1} \over {z - 1}}} \right| < 1} \right\}$$ and $$B = \left\{ {z \in C:\arg \left( {{{z - 1} \over {z + 1}}} \right) = {{2\pi } \over 3}} \right\}$$. Then A $$\cap$$ B is :

A
a portion of a circle centred at $$\left( {0, - {1 \over {\sqrt 3 }}} \right)$$ that lies in the second and third quadrants only
B
a portion of a circle centred at $$\left( {0, - {1 \over {\sqrt 3 }}} \right)$$ that lies in the second quadrant only
C
an empty
D
a portion of a circle of radius $${2 \over {\sqrt 3 }}$$ that lies in the third quadrant only
3
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Let A be a 3 $$\times$$ 3 invertible matrix. If |adj (24A)| = |adj (3 adj (2A))|, then |A|2 is equal to :

A
66
B
212
C
26
D
1
4
JEE Main 2022 (Online) 26th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The ordered pair (a, b), for which the system of linear equations

3x $$-$$ 2y + z = b

5x $$-$$ 8y + 9z = 3

2x + y + az = $$-$$1

has no solution, is :

A
$$\left( {3,{1 \over 3}} \right)$$
B
$$\left( { - 3,{1 \over 3}} \right)$$
C
$$\left( { - 3, - {1 \over 3}} \right)$$
D
$$\left( {3, - {1 \over 3}} \right)$$
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