XI_Maths_The Straight Line_2 Online Test

Let L1 be a straight line passing through the origin and L2 be the straight line x +y =1. If the intercepts made by the circle x2 + y2 –x +3y=0 on L1 and L2 are equal , then which of the following equations can represent L1?
X+ y =0
X –y=0
X +7y=0
X –7y=0
2 and 3
1 and 4
Area of the triangle formed by the line x +y=3 and angle bisectors of the pair of straight lines x2 – y2 + 2y=1 is
2 sq. units
4 sq. units
6 sq. units
8 sq. units
Let PS be the median of the triangle with vertices P(2,2), Q(6-1) and R(7,3). The equation of the line passing through (1-1) and parallel to PS is
2x-9y-7 =0
2x-9y-11 =0
2x+ 9y-11=0
2x+9y+7=0
Area of the parallelogram formed by the lines y= mx, y=mx+1, y=nx and y=nx +1 equals
|m+n|/(m-n)2
2/|m+n|
1/(|m+n|)
1/(|m-n|)
If the vertices P, Q, R of a triangle PQR are rational points, which of the following points of the triangle PQR is always rational point(s)?
Circumcentre
incentre
centre
Orthocentre
If (P(1,2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelogram PQRS, then
a=2, b=4
a=3, b=4
a=2, b=3
a=3, b=5
The point (-a,-b). (0,0), (a, b) and (a2, ab) are:
Collinear
Vertices of a parallelogram
Vertices of a rectangle
None of these
The straight lines x+y =0, 3x +y-4=0,x+3y-4=0 form a triangle which is
isosceles
equilateral
right angled
none of these
If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is
Square
Circle
Straight
Two intersecting lines
Let PQR be a right angled isosceles triangle, right angled at P(2,1). If equation of the line QR is 2x+ Y=3, then the equation representing the pair of lines PQ and PR is
3x2-3y2+8xy+20x+10y+25=0
3x2-3y2+8xy-20x+10y+25=0
3x2-3y2+8xy+10x+15y+20=0
3x2 -3y2-8xy-10x-15y-20=0
Description:

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test cosist of questions from Straight Line which, in general, is focused in AIEEE and IIT JEE. Last year - 6 questions was asked from this chapter in AIEEE. In Straight Line, slopes and distance between a point to a line are key topics and mostly application based questions are asked.

Discussion

Narendrachary

let PQR be a right angle isosceles triangle,right angle at P(2,1).if the equation of the line QR is 2x+y=3,then the equation reprenting the pair of lines PQ,PR is

2521 days 19 hours 36 minutes ago

Narendrachary

area of the parallelogram formed by the lines y=mx,y=mx+1,y=nx,y=nx+1 equal to

2521 days 19 hours 39 minutes ago

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