The shaded portion in the diagram is the solution of
x + y \(\leq\) 3
x + y < 3
x + y > 3
x + y \(\geq\) 3
Correct answer is B
Using \(\frac{x}{a} + \frac{y}{b}\) < 1for the equation of the time
where a = intercept on x-axis and b = intercept on y - axis
\(\frac{x}{3} + \frac{y}{3} = 1\)
= \(\frac{x + y}{3} = 1\)
= x + y < 3
110o
100o
80o
70o
Correct answer is B
3x = 2 x 60 = 2y (Angle at centre = 2 x angle at circumference)
3x = 2 x 60
x = \(\frac{2 \times 60}{3}\) = 40o
2 x 60 = 2y
y = 60o
x + y = 40 + 60
= 100o
55o
45o
35o
25o
Correct answer is C
Join SR
< PRS = 90o(Angle in a semicircle)
< PRS = 55o (Angle between a chord and a tangent = Angle in the alternate segment)
< PSR + < PRS + < RSP = 180o
90v + 55o + < RSp = 180o
< RSP = 180o - 145o
= 35o
10o
11o
22o
35o
Correct answer is B
From the diagram, OP bisects < ROS
< POS = \(\frac{1}{2}\) < ROS = \(\frac{1}{2}\) x 66o
3x = 33o
x = \(\frac{33^o}{3}\)
= 11o
\(\frac{KL}{JI}\)
\(\frac{HK}{JK}\)
\(\frac{JI}{KL}\)
\(\frac{HK}{LK}\)
Correct answer is A
\(\bigtriangleup\) is similar to \(\bigtriangleup\) HIJ
< HKL = HJI = xo
Hence, \(\frac{LH}{JH} = \frac{KH}{JH} \frac{KL}{IJ}\)
\(\frac{LH}{JH} = \frac{KL}{JI}\)
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