## Straight Lines Quiz-2

The unit Straight Line holds sheer significance in the JEE Advanced and other engineering exams. It has a weightage of 6% pairing with Circles. With focused practice good marks can be fetched from this section. These questions are important in achieving your success in JEE and Other Engineering Exams..

Q1. ABCD is a square A≡(1,2),B≡(3,-4). If line CD passes through (3, 8) then midpoint of CD is
•  (2, 6)
•  (6,2)
•  (2, 5)
•  (24/5, 1/5)
Solution
Q2.L_1 and L_2 are two lines. If the reflection of L_1 in L_2 and the reflection of L_2 in L_1 coincide, then the angle between the lines is
•  30°
•  60°
•  45°
•  90°
Solution
Q3.  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|)
Solution

Q4. If the lines ax+y+1=0,x+by+1=0 and x+y+c=0 (a,b,c being distinct and different from 1) are concurrent, then (11-a)+(11-b)+(11-c) =
•  0
•  1
•  1/(a+b+c)
•  None of these
Solution
Q5.The line parallel to the x-axis and passing through the intersection of the lines ax+2by+3b=0 and bx-2ay-3a=0, where (a,b)≠(0,0) is
•  Above the x-axis at a distance of 3/2 units from it
•   Above the x-axis at a distance of 2/3 units from it
•  Below the x-axis at a distance of 3/2 units from it
•   Below the x-axis at a distance of 2/3 units from it
Solution
Q6. Consider the points A(0,1) and B(2,0), and P be a point on the line 4x+3y+9=0. Coordinates of P such that |PA-PB| is maximum are
•  (-12/5,17/5)
•  (-84/5,13/5)
• (-6/5,17/5)
•  (0,-3)
Solution

Q7.Two medians drawn from acute angles of a right angled triangle intersect at an angle Ï€/6. If the length of the hypotenuse of the triangle is 3 units, the area of triangle (in sq. units) is
•  √3
•  3
•  √2
•  9
Solution

Q8.The number of integral points (x,y) (i.e., x and y both are integers) which lie in the first quadrant but not on the coordinate axes and also on the straight line 3x+5y=2007 is equal to
•  133
•  135
•  138
•  140
Solution
Q9.The equation x2y2-9y2+6x2y+54y=0 represents
•  A pair of straight lines and a circle
•  A pair of straight lines and a parabola
•  A set of four straight lines forming a square
•  None of these
Solution
Q10. A triangle is formed by the lines x+y=0,x-y=0 and lx+my=1. If l and m vary subject to the condition l2+m2=1, then the locus of its circumcentre is
•  (x2-y2 )2=x2+y2
•  (x2+y2 )2=(x2-y2)
•  (x2+y2 )=4x2 y2
• (x2-y2 )2=(x2+y2 )2
Solution

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