CTET Solved Paper - UPTET December 2016 Paper2
136. The graphs of lines x + 2y -3 = 0 and 2x + 4y + 11 = 0
- Option : C
- Explanation : (C) Slope (m) of a line ax + by + c = 0 is m = -(a/b)
∴ Slope (m1) of line x + 2y -3 = 0,
⇒ m1 =-(1/2)
and Slope (m2) of line 2x + 4y + 11 = 0
⇒ m2 = -(2/4) = -(1/2)
∵ m1 = m2 = -(1/2)
Slope of both the lines are equal
∴ Lines are parallel to each other
- Option : D
- Explanation : (D) (i) Vertex is always common. (false)
It is not necessary that vertex is always common as in case of parallel lines, vertex is not common of lines which forms pair of adjacent angles ∠1 and ∠2 are adjacent angles. But vertex is not common.
(ii) One arm is always common. (True)
In both figure (a) and (b), l is the common arm.
(iii) Uncommon arms are always opposite rays (True)
In both figure, X and Y are uncommon arms. And, they are always opposite rays.
is
- Option : A
- Explanation : (A)
Radius = m, θ = 1050
Length of the arc (̅AB) = (πrθ)/1800
= 55 m
∴ Horse covered a distance of 55 m from initial point A to B.
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