1
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

Given, a sequence of 4 numbers, first three of which are in GP and the last three are in AP with common difference 6. If first and last term of this sequence are equal, then the last term is

A
4
B
2
C
8
D
16
2
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

If $$a, b, c$$ are non-zero real numbers and if the system of equations $$(a-1) x-y-z=0, -x+(b-1) y-z=0,-x-y+(c-1) z=0$$ has a non-trivial solution, then $$a b+b c+c a$$ equals to

A
$$a b c$$
B
$$a+b+c$$
C
1
D
$$-1$$
3
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

If $$f(x)=x^2-2 x+1$$ and $$f \circ g(x)=x^2+2 x+1$$, then $$g(x)$$ is equal to

A
$$x-2$$
B
$$x+2$$
C
$$-x-2$$
D
$$-x+2$$
4
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

If $$z_1$$ and $$z_2$$ be nth root of unity which subtend a right angled at the origin. Then, $$n$$ must be of the form

A
$$4 K+1$$
B
$$4 k$$
C
$$4 k+2$$
D
$$4 k+3$$
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