1
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The equation |z – i| = |z – 1|, i = $$\sqrt { - 1} $$, represents :
A
a circle of radius 1
B
the line through the origin with slope – 1
C
a circle of radius $${1 \over 2}$$
D
the line through the origin with slope 1
2
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\alpha $$ and $$\beta $$ are the roots of the equation 375x2 – 25x – 2 = 0, then $$\mathop {\lim }\limits_{n \to \infty } \sum\limits_{r = 1}^n {{\alpha ^r}} + \mathop {\lim }\limits_{n \to \infty } \sum\limits_{r = 1}^n {{\beta ^r}} $$ is equal to :
A
$${7 \over {116}}$$
B
$${{29} \over {348}}$$
C
$${1 \over {12}}$$
D
$${{21} \over {346}}$$
3
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If ey + xy = e, the ordered pair $$\left( {{{dy} \over {dx}},{{{d^2}y} \over {d{x^2}}}} \right)$$ at x = 0 is equal to :
A
$$\left( {{1 \over e}, - {1 \over {{e^2}}}} \right)$$
B
$$\left( { - {1 \over e},{1 \over {{e^2}}}} \right)$$
C
$$\left( { - {1 \over e}, - {1 \over {{e^2}}}} \right)$$
D
$$\left( {{1 \over e},{1 \over {{e^2}}}} \right)$$
4
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
For x $$\varepsilon $$ R, let [x] denote the greatest integer $$ \le $$ x, then the sum of the series $$\left[ { - {1 \over 3}} \right] + \left[ { - {1 \over 3} - {1 \over {100}}} \right] + \left[ { - {1 \over 3} - {2 \over {100}}} \right] + .... + \left[ { - {1 \over 3} - {{99} \over {100}}} \right]$$ is :
A
- 153
B
- 135
C
- 133
D
- 131
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