# Co-ordinate Geometry : Straignt Lines Online Test

The area of the triangle with vertices (a, b+c), (b, c+a), (c, a+b) is
0
a+b+c
ab+bc+ca
a²+b²+c²
A line passing trough (2,2) is perpendicular to the line 3x+y=3. its y intercept is
1/3
2/3
1
4/3
If the sum of the distances of a point from two perpendicular lines in a plane is 1, then the locus is
square
circle
straight line
two intersecting lines
If the line 6x-y+2+k(2x+3y+13)=0 is parallel to the x-axis, then k=?
-1/3
1/3
-3
3
The nearest point on the line 3x-4y=25 from the origin is
(-4,5)
(3,-4)
(3,4)
(3,5)
The image of the piont (-1,3) by the line x-y=0 is
(3,-1)
(1,-3)
(-1,-1)
(3,3)
If the lines 3y+4x=1, y=x+5 & 5y+bx=3 are concurrent, the value of b=?
1
3
6
0
If x/c+y/d=1 be any line through the intersection of lines x/a+y/b=1 & x/b+y/a=1, then
1/a+1/d=1/b+1/c
1/b+1/d=1/c+1/a
1/c+1/d=1/a+1/b
N.O.T
If 2a+3b+6c=0, then the family of straight lines ax+by+c=0 passes through a fixed point whose co=ordinates are:
(2,3)
(3,2)
(1/2,1/3)
(1/3,1/2)
The area of a triangle is 5 and two of its vertices are A(2,1) & B(3,-2). The third vertex which lies on the line y=x+3 is:
(-3/2,3/2)
(5/2,11/2)
(7/4,13/2)
(0,0)
(7/2,13/4)
The eqn of the lines joining the origin to the points of trisection of the portion of the line 3x+y=12 intercepted b/w the axes are:
y=x/2 & y=x
y=x & y=-x
y=3/2 & y=6x
N.O.T
The orthocentre, circumcentre, centroid, & incentre of the triangle formed by the lines x=0, y=0 & x+y=a lie on:
y=x
y=2x
y=3x
y=x/2
The area of the quadilateral whose sides are given by |x|+|y|=1 is:
1 sq units
2 sq units
4 sp units
N.O.T
The eqn of the base of an equilateral triangle is x+y-2=0 and one vertex is (2,-1). Then the length of the side of the triangle is:
sqrt(1/2)
rt(3/2)
rt(2/3)
rt(2)
The orthocentre of the triangle formed by the lines x=2, y=3, 3x+2y=6 is at the point:
(2,0)
(0,3)
(2,3)
N.O.T
Description:

An assignment on [co-ordinate geometry] straight lines

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Discussion

4543 days 9 hours 3 minutes ago

Please get 1,4 and 8th questions corrected

4687 days 23 hours 3 minutes ago

Q no. 1,4,8 have wrong answers

4687 days 23 hours 12 minutes ago

Rishabh Dev
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