MEDIUM
JEE Main
IMPORTANT
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A point moves on the line If and are fixed points, then the locus of the centroid of is a line:
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Important Questions on Point and Straight Line
MEDIUM
JEE Main
IMPORTANT
Two vertices of a triangle are and If its orthocenter is at the origin, then its third vertex lies in which quadrant?
MEDIUM
JEE Main
IMPORTANT
Two sides of a parallelogram are along the lines, and If its diagonals intersect at then one of its vertex is:
MEDIUM
JEE Main
IMPORTANT
A triangle has a vertex at and the mid points of the two sides through it are and . Then the centroid of this triangle is:
HARD
JEE Main
IMPORTANT
A straight line at a distance of units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of with the line Then an equation of the line is:
Note: In actual JEE Main paper, two options were correct for this question. Hence, we have changed one option.
HARD
JEE Main
IMPORTANT
If the straight line is perpendicular to the line passing through the points and , then equals :
EASY
JEE Main
IMPORTANT
If a straight line passing through the point is such that its intercepted portion between the coordinate axes is bisected at , then its equation is :
HARD
JEE Main
IMPORTANT
If a circle of radius passes through the origin and intersects the coordinate axes at and , then the locus of the foot of perpendicular from on is :
HARD
JEE Main
IMPORTANT
The tangent to the curve , parallel to the line , also passes through the point :
