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QJEE MAIN 2026
Let ABC be an equilateral triangle with orthocenter at the origin and the side BC on the line $x+2 \sqrt{2} y=4$. If the co-ordinates of...
JEE MainMathematicsHard
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QJEE MAIN 2026
Let $A(1,2)$ and $C(-3,-6)$ be two diagonally opposite vertices of a rhombus, whose sides AD and BC are parallel to the line $7 x-y=14$. If...
JEE MainMathematicsEasy
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QJEE MAIN 2026
Let $A(1,0), B(2,-1)$ and $C\left(\frac{7}{3}, \frac{4}{3}\right)$ be three points. If the equation of the bisector of the angle A B C is $\alpha x+\beta y=5$,...
JEE MainMathematicsEasy
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QJEE MAIN_2026
A rectangle is formed by the lines $x=0, y=0, x=3$ and $y=4$. Let the line L be perpendicular to $3 x+y+6=0$ and divide the area...
JEE MainMathematicsMedium
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QJEE MAIN 2026
Among the statements (S1) : If $\mathrm{A}(5,-1)$ and $\mathrm{B}(-2,3)$ are two vertices of a triangle, whose orthocentre is $(0,0)$, then its third vertex is $(-4,-7)$...
JEE MainMathematicsMedium
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QJEE MAIN 2026
Let a point A lie between the parallel lines $L_1$ and $L_2$ such that its distances from $L_1$ and $L_2$ are 6 and 3 units,...
JEE MainMathematicsEasy
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QJEE MAIN_2019_
The region represented by $|x-y| \leq 2$ and $|x+y| \leq 2$ is bounded by a:
JEE MainMathematicsEasy
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QJEE MAIN 2019
Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P,...
JEE MainMathematicsMedium
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QJEE MAIN 2019
A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then...
JEE MainMathematicsEasy
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QJEE MAIN 2020
The set of all possible values of in the interval (0, ) for which the points (1, 2) and (sin, cos) lie on the...
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