34
MCQ (Single Correct Answer)
Equation of the line passing through $(1,2)$ and parallel to the line $y=3 x-1$ is
A
$y+2=x+1$
B
$y+2=3(x+1)$
C
$y-2=3(x-1)$
D
$y-2=x-1$
35
MCQ (Single Correct Answer)
Equations of diagonals of the square formed by the lines $x=0, y=0, x=1$ and $y=1$ are
A
$y=x, y+x=1$
B
$y=x, x+y=2$
C
$2 y=x, y+x=\frac{1}{3}$
D
$y=2 x, y+2 x=1$
36
MCQ (Single Correct Answer)
For specifying a straight line, how many geometrical parameters should be known?
A
1
B
2
C
4
D
3
37
MCQ (Single Correct Answer)
The point $(4,1)$ undergoes the following two successive transformations
(i) Reflection about the line $y=x$
(ii) Translation through a distance 2 units along the positive $X$-axis.
Then, the final coordinates of the point are
A
$(4,3)$
B
$(3,4)$
C
$(1,4)$
D
$\left(\frac{7}{2}, \frac{7}{2}\right)$
38
MCQ (Single Correct Answer)
A point equidistant from the lines $4 x+3 y+10=0,5 x-12 y+26=0$ and $7 x+24 y-50=0$ is
A
$(1,-1)$
B
$(1,1)$
C
$(0,0)$
D
$(0,1)$