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Revision Quiz on Point & Straight Line
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Question 1
The Circumcentre of the triangle formed by the lines, xy+2x+2y+4=0 and x+y+2=0 is ____.
Question 2
The vertices of a triangle are (6,0),(0,6) and (6,6). Then the distance between its circumcentre and centroid is ____.
Question 3
For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the following is
Question 4
The line segments joining the points M(5, 7) and N(-3, 2) is intersected by the y-axis at point L
Find the ratio in which L divides MN, coordinates of L, abscissa
Find the ratio in which L divides MN, coordinates of L, abscissa
Question 5
A straight line through origin O meets the lines 
and 
at points A and B respectively. Then O divides the segment AB in the ratio:
and at points A and B respectively. Then O divides the segment AB in the ratio: Question 6
Find the distance of the line 
from the point 
along the line
from the point along the line Question 7
The distance, from the origin, of the normal to the curve,
at,
is:
at, is:Question 8
The perpendicular bisector of the line segment joining P(1, 4) and Q(k, 3) has y–intercept –4. Then a possible value of k is
Question 9
A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle α (0 < α <π/4) with the positive direction of the x-axis. The equation of its diagonal not passing through the origin is
Question 10
In the adjacent figures, which has the shortest path?
Question 11
In a triangle 
, let 
denote its centroid and let 
be points in the interiors of the segments 
, respectively, such that 
are collinear. If 
denotes the ratio of the are of triangle 
to the area of 
then
, let denote its centroid and let be points in the interiors of the segments , respectively, such that are collinear. If denotes the ratio of the are of triangle to the area of then Question 12
The equation to the locus of a point which moves so that its distance from the point (0,a) is always 4 times its distance from the x-axis
Question 13
Question 14
If a variable line drawn through the intersection of the lines 
and 
, meets the coordinate axes at A and B, 
, then the locus of the midpoint of AB is:
and , meets the coordinate axes at A and B, , then the locus of the midpoint of AB is: Question 15
If the three distinct lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4ay + a = 0 are concurrent, then the point (a, b) lies on a:
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Oct 24JEE & BITSAT
