4:9
4:5
1:3
2:3
Correct answer is B
h1 = \(\frac{h_1 + h_2}{1.5}\) = \(\frac{h_1}{h_2} = 2\)
\(\frac{A_{\bigtriangleup PQR}}{A_{TP(QRST)}} = \frac{\frac{1}{2} \times 2 \times h_1}{\frac{1}{2} \times h_2 (2 + 3)}\)
\(\frac{2}{5} \times \frac{h_1}{h_2} = \frac{2}{5} \times 2\)
= \(\frac{4}{5}\)
30o
40o
45o
50o
Correct answer is A
From the diagram, POQ is a diameter; o is the centre of the circle and TP is a tangent where RTP = 30o
RTP = RQP = x(at circumference = made by tangent outside the circle) i.e x = 30o
An (\(n - 2)^2\) sided figure has n diagonals. Find the number n diagonals for a 25-sided figure
7
8
9
10
Correct answer is A
(n-2)\(^2\)=25
n - 2 = 5
n = 5 + 2 = 7
\(\theta\)o + \(\phi\)o = 902
\(\phi\)o = 902 - 2\(\theta\)o
\(\theta\)o = \(\phi\)o
\(\phi\)o = 2\(\theta\)o
\(\theta\)o + 2\(\phi\)o
Correct answer is E
180 - \(\phi\)o = \(\theta\)o + \(\phi\)o (Sum of opposite interior angle equal to its exterior angle)
180 = 2\(\phi\) + \(\theta\)o
In the figure, GHIJKLMN is a cube of side a. Find the length of HN.
\(\sqrt{3a}\)
3a
3a2
a\(\sqrt{2}\)
a\(\sqrt{3}\)
Correct answer is E
HJ2 = a2 + a2 = 2a2
HJ = \(\sqrt{2a^2} = a \sqrt{2}\)
HN2 = a2 + (a\(\sqrt{2}\))2 = a2 + 2a2 = 3a2
HN = \(\sqrt{3a^2}\)
= a\(\sqrt{3}\)cm
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