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Express each of the following ratios in the simplest form:
\(324:144\)
\(324:144\)
Answer
\(324:144\)
\(=4\times 81:4\times 36\)
\(=81:36\)
\(=9\times 9:9\times 4\)
\(=9:4\)
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In a triangle \(ABC,\) if \(\sin{A},\,\sin{B},\,\sin{C}\) are in A.P then
(A) altitudes are in A.P
(B) altitudes are in H.P
(C) medians are in G.P
(D) medians are in A.P
(A) altitudes are in A.P
(B) altitudes are in H.P
(C) medians are in G.P
(D) medians are in A.P
The common difference of the A.P.\(3\),\(5\),\(7\),.....is....
(A) \(4\)
(B) \(2\)
(C) \(3\)
(D) \(-2\)
(A) \(4\)
(B) \(2\)
(C) \(3\)
(D) \(-2\)
Explain Combination reaction with examples.
\(\displaystyle \lim_{n\rightarrow \infty }\left [ \frac{1}{n^{2}}\sec ^{2}\frac{1}{n^{2}}+\frac{2}{n^{2}}\sec ^{2}\frac{4}{n^{2}}+...+\frac{1}{n}\sec ^{2}1 \right ]\) equals
(A) \(\displaystyle \frac{1}{2}cosec 1\)
(B) \(\displaystyle \frac{1}{2}\sec 1\)
(C) \(\displaystyle \frac{1}{2}\tan 1\)
(D) \(\tan 1\)
(A) \(\displaystyle \frac{1}{2}cosec 1\)
(B) \(\displaystyle \frac{1}{2}\sec 1\)
(C) \(\displaystyle \frac{1}{2}\tan 1\)
(D) \(\tan 1\)
Many hundred years ago, a ship was transporting calcium carbide and calcium phosphide (stored in different container). By chance sea-water entered sea and luminous flame appeared a ghost would have come. However, a chemist travelling in it explained it based on reactions. These reactions are
\(\underset{Calcium \, \, Carbide}{CaC_2} + 6H_2O \longrightarrow Ca(OH)_2+ \underset {Acetylene}{C_2H_2} \, \, \, \, \, \, \, \, \, \, \, \, \underset { Calcium \, \, phosphide}{Ca_3P_2} + 6H_2O \longrightarrow 3Ca(OH)_2+\underset {Phosphine}{2PH_3}\)
(A) True
(B) False
\(\underset{Calcium \, \, Carbide}{CaC_2} + 6H_2O \longrightarrow Ca(OH)_2+ \underset {Acetylene}{C_2H_2} \, \, \, \, \, \, \, \, \, \, \, \, \underset { Calcium \, \, phosphide}{Ca_3P_2} + 6H_2O \longrightarrow 3Ca(OH)_2+\underset {Phosphine}{2PH_3}\)
(A) True
(B) False
Which is best oxidising agent?
(A) \(Ge^{4+}\)
(B) \(Pb^{4+}\)
(C) \(Sn^{4+}\)
(D) \(Sn^{2+}\)
(A) \(Ge^{4+}\)
(B) \(Pb^{4+}\)
(C) \(Sn^{4+}\)
(D) \(Sn^{2+}\)
The mixture of concentrated \( HCl\) and \( HNO_3 \) made in \(3:1\) ratio contains :
(A) \( ClO_2 \)
(B) \( NOCl \)
(C) \(NCl_3\)
(D) \( N_2O_4 \)
(A) \( ClO_2 \)
(B) \( NOCl \)
(C) \(NCl_3\)
(D) \( N_2O_4 \)
| X | Y |
| Liquid sodium metal | Breathing apparatus submarine |
| Potassium | Explosive |
| Potassium nitrate | Coolant in nuclear reaction |
| Potassium superoxide | Soft soap |
(A) A-I, B-III, C-II, D-IV
(B) A-III, B-IV, C-II, D-I
(C) A-II, B-I, C-III, D-IV
(D) A-IV, B-II, C-III, D-I
Thorns of Bougainvillea and tendrils of Cucurbita are examples for
(A) Retrogressive evolution
(B) Analogous organs
(C) Homologous organs
(D) Vestigial organs
(A) Retrogressive evolution
(B) Analogous organs
(C) Homologous organs
(D) Vestigial organs
If f(x) is a function such that \(f^{\prime \prime}(x)+f(x)=0\) and \(g(x)=[f(x)]^2+[f'(x)]^2\) and g(3)=8, then \(g(8)= \)_____
(A) \(0\)
(B) \(3\)
(C) \(5\)
(D) \(8\)
(A) \(0\)
(B) \(3\)
(C) \(5\)
(D) \(8\)
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