1
JEE Main 2020 (Online) 8th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If a line, y = mx + c is a tangent to the circle, (x – 3)2 + y2 = 1 and it is perpendicular to a line L1, where L1 is the tangent to the circle, x2 + y2 = 1 at the point $$\left( {{1 \over {\sqrt 2 }},{1 \over {\sqrt 2 }}} \right)$$, then :
A
c2 + 6c + 7 = 0
B
c2 - 7c + 6 = 0
C
c2 – 6c + 7 = 0
D
c2 + 7c + 6 = 0
2
JEE Main 2020 (Online) 8th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which of the following statements is a tautology?
A
~(p $$ \wedge $$ ~q) $$ \to $$ p $$ \vee $$ q
B
~(p $$ \vee $$ ~q) $$ \to $$ p $$ \vee $$ q
C
~(p $$ \vee $$ ~q) $$ \to $$ p $$ \wedge $$ q
D
p $$ \vee $$ (~q) $$ \to $$ p $$ \wedge $$ q
3
JEE Main 2020 (Online) 8th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the 10th term of an A.P. is $${1 \over {20}}$$ and its 20th term is $${1 \over {10}}$$, then the sum of its first 200 terms is
A
100
B
$$100{1 \over 2}$$
C
$$50{1 \over 4}$$
D
50
4
JEE Main 2020 (Online) 8th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let ƒ : (1, 3) $$ \to $$ R be a function defined by
$$f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}$$ , where [x] denotes the greatest integer $$ \le $$ x. Then the range of ƒ is
A
$$\left( {{2 \over 5},{1 \over 2}} \right) \cup \left( {{3 \over 4},{4 \over 5}} \right]$$
B
$$\left( {{3 \over 5},{4 \over 5}} \right)$$
C
$$\left( {{2 \over 5},{4 \over 5}} \right]$$
D
$$\left( {{2 \over 5},{3 \over 5}} \right] \cup \left( {{3 \over 4},{4 \over 5}} \right)$$
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