A square of area 25 sq unit is formed by talking two sides as \( \Large 3x+4y=k_{1}\ and\ 3x+4y=k_{2} \) then \( \Large |k_{1}-k_{2}| \) is:


A) 5

B) 1

C) 25

D) none of these

Correct Answer:
C) 25

Description for Correct answer:
Each side of square is 5 unit, distance between given lines is 5 unit.

i.e., \( \Large |\frac{k_{1}-k_{2}}{5}|=5 => |k_{1}-k_{2}|=25 \)

Part of solved Straight lines questions and answers : >> Elementary Mathematics >> Straight lines








Comments

No comments available




Similar Questions
1). The lines \( \Large ax+by+c=0,\ bx+cy+a=0\ and\ cx+ay+b=0 \) \( \Large a \ne b \ne c \) are concurrent if:
A). \( \Large a^{3}+b^{3}+c^{3}+3abc=0 \)
B). \( \Large a^{2}+b^{2}+c^{2}-3abc=0 \)
C). \( \Large a+b+c=0 \)
D). none of these
-- View Answer
2). A straight line through the point (2, 2) intersects the lines \( \Large \sqrt{3}x+y=0\ and\ \sqrt{3}x-y=0 \) at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is:
A). \( \Large x-2=0 \)
B). \( \Large y-2=0 \)
C). \( \Large x+y-4=0 \)
D). none of these
-- View Answer
3). Equation to the straight line cutting of an intercept from the negative direction of the axis of y and inclined at \( \Large 30 ^{\circ} \) to the positive direction of axis of x is:
A). \( \Large y+x-\sqrt{3}=0 \)
B). \( \Large y-x+2=0 \)
C). \( \Large y-\sqrt{3}x-2=0 \)
D). \( \Large \sqrt{3}y-x+2\sqrt{3}=0 \)
-- View Answer
4). Two consecutive side of parallelogram are \( \Large 4x+5y=0\ and\ 7x+2y=0 \). One diagonal of the parallelogram is \( \Large 11x+7y=9 \) the other diagonal is\( \Large ax+by+c=0 \), then
A). \( \Large a=-1,\ b=-1,\ c=2 \)
B). \( \Large a=1,\ b=-1,\ c=0 \)
C). \( \Large a=-1,\ b=-1,\ c=0 \)
D). \( \Large a=1,\ b=1,\ c=1 \)
-- View Answer
5). The line parallel to the x-axis and passing through the intersection of the lines \( \Large ax+2by+3b=0\ and\ bx-2ay-3a=0 \), where \( \Large (a, b) \ne (0, 0) \), is
A). above the x-axis at a distance of \( \Large \frac{2}{3} \) from it.
B). above the x-axis at a distance of \( \Large \frac{3}{2} \) from it.
C). below the x-axis at a distance of \( \Large \frac{2}{3} \) from it.
D). below the x-axis at a distance of \( \Large \frac{3}{2} \) from it.
-- View Answer


6). The number of integral values of m, for which the x-coordinate of the point of intersection of the line \( \Large 3x+4y=9\ and\ y=mx+1 \) is also an integer is:
A). 2
B). 0
C). 4
D). 1
-- View Answer
7). The number of integeral points (integral point means both the co-ordinates should be integer) exactly in the interior of the triangle with vertices (0, 0)(0, 21) and (21, 0) is
A). 133
B). 190
C). 233
D). 105
-- View Answer
8). The arc (in sq unit) of the quadrilateral formed by two pairs of lines \( \Large l^{2}x^{2}-m^{2}y^{2}-n \left(lx+my\right)=0\ and\ l^{2}m^{2}-m^{2}y^{2}+n \left(lx-my\right)=0 \) is
A). \( \Large \frac{n^{2}}{2|lm|} \)
B). \( \Large \frac{n^{2}}{|lm|} \)
C). \( \Large \frac{n}{2|lm|} \)
D). \( \Large \frac{n^{2}}{4|lm|} \)
-- View Answer
9). The point of lines represented by\(  \Large 3ax^{2} + 5xy + \left(a^{2}-2\right)y^{2}=0 \) and perpendicular to each other for
A). two value of a
B). for all value of a
C). for one values of a
D). for no value of a
-- View Answer
10). If the pair of lines \( \Large ax^{2}+2hxy+by^{2}+2gx+2fy+c=0 \) intersect on the y-axis then:
A). \( \Large 2fgh=bg^{2}+ch^{2} \)
B). \( \Large bg^{2} \ne ch^{2}\)
C). \( \Large abc = 2fgh \)
D). none of these
-- View Answer