JEE-MAIN SERIES Mathematics
Coordinates Of A Point In Space
7 previous year questions.
Volume: 7 Ques
Yield: Medium
High-Yield Trend
3
2023 4
2022 Chapter Questions 7 MCQs
01
PYQ 2022
hard
mathematics ID: jee-main
For , if is an equilateral triangle with vertices and such that its orthocentre lies on a circle with centre , then is equal to :
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8
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02
PYQ 2022
medium
mathematics ID: jee-main
A point moves so that the sum of squares of its distances from the points and is . Let be the locus of , which intersects the -axis at the points and the -axis at the point . Then the area of the quadrilateral is equal to
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03
PYQ 2022
medium
mathematics ID: jee-main
Let the equation of two diameters of a circle x2 + y2 – 2x + 2fy + 1 = 0 be 2px – y = 1 and 2x + py = 4p. Then the slope m ∈ (0, ∞) of the tangent to the hyperbola 3x2 – y2 = 3 passing through the center of the circle is equal to _______.
04
PYQ 2022
easy
mathematics ID: jee-main
The sum of diameters of the circles that touch (i) the parabola = at the point ( , ) and (ii) the y-axis is equal to _______.
05
PYQ 2023
hard
mathematics ID: jee-main
Let and be two distinct points on a circle with center Let be the origin and be perpendicular to both and . If the area of the triangle is , then is equal to ______
06
PYQ 2023
medium
mathematics ID: jee-main
The foot of perpendicular from the origin to a plane which meets the co-ordinate axes at the points is If the volume of the tetrahedron is 144 unit , then which of the following points is NOT on ?
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07
PYQ 2023
medium
mathematics ID: jee-main
The area of the quadrilateral having vertices as (1,2), (5,6), (7,6), (-1,-6) is?
