1
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is :
A
$${\pi \over 2} - {\tan ^{ - 1}}\left( {{1 \over 4}} \right)$$
B
$${\pi \over 2} + {\tan ^{ - 1}}\left( {{1 \over 3}} \right)$$
C
$${\pi \over 2} - {\tan ^{ - 1}}\left( {{1 \over 3}} \right)$$
D
$${\pi \over 2} + {\tan ^{ - 1}}\left( {{1 \over 4}} \right)$$
2
JEE Main 2021 (Online) 24th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let a, b, c be in arithmetic progression. Let the centroid of the triangle with vertices (a, c), (2, b) and (a, b) be $$\left( {{{10} \over 3},{7 \over 3}} \right)$$. If $$\alpha$$, $$\beta$$ are the roots of the equation $$a{x^2} + bx + 1 = 0$$, then the value of $${\alpha ^2} + {\beta ^2} - \alpha \beta $$ is :
A
$${{69} \over {256}}$$
B
$${{71} \over {256}}$$
C
$$ - {{71} \over {256}}$$
D
$$ - {{69} \over {256}}$$
3
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
If the length of the chord of the circle,
x2 + y2 = r2 (r > 0) along the line, y – 2x = 3 is r,
then r2 is equal to :
A
$${9 \over 5}$$
B
$${{24} \over 5}$$
C
$${{12} \over 5}$$
D
12
4
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The circle passing through the intersection of the circles,
x2 + y2 – 6x = 0 and x2 + y2 – 4y = 0, having its centre on
the line, 2x – 3y + 12 = 0, also passes through the point :
A
(–3, 1)
B
(1, –3)
C
(–1, 3)
D
(–3, 6)
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