Recent questions tagged ch4

If $\alpha,\beta,\gamma$ are real numbers then,$\begin{vmatrix} 1& \cos(\beta-\alpha)&\cos(\gamma-\alpha)\\\cos(\alpha-\beta)&1&\cos(\gamma-\beta)\\\cos(\alpha-\gamma)&\cos(\beta-\gamma)&1\end{vmatrix}$ is equal to

asked Apr 23, 2014 by sreemathi.v

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If $\Delta_r=\begin{vmatrix}2^{r-1}&\large\frac{(r+1)!}{1+\large\frac{1}{r}}&2r\\a&b&c\\2^n-1&(n+1)!-1&n(n+1)\end{vmatrix}$ then value of $\sum\limits_{r=1}^n\Delta_r$ is

asked Apr 23, 2014 by sreemathi.v

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If $\Delta=\begin{vmatrix} 1+x_1y_1&1+x_1y_2&1+x_1y_3\\1+x_2y_1&1+x_2y_2&1+x_2y_3\\1+x_3y_1&1+x_3y_2&1+x_3y_3\end{vmatrix}$ then $\Delta$ is

asked Apr 22, 2014 by sreemathi.v

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If $f(x)=\begin{vmatrix}1&a&a^2\\\sin(n-1) x&\sin nx&\sin(n+1)x\\\cos(n-1)x&\cos nx&\cos(n+1)x\end{vmatrix}$ then $\int_0^{\large\frac{\pi}{2}}f(x)dx$ is equal to

asked Apr 22, 2014 by sreemathi.v

1 answer

If the system of equations $x+ay+az=0,bx+y+bz=0$ and $cx+cy+z=0$ where $a,b,c$ are non-zero ,non unity has a non-trivial solution then the value of $\large\frac{a}{1-a}+\frac{b}{1-b}+\frac{c}{1-c}$ is

asked Apr 22, 2014 by sreemathi.v

1 answer

In a triangle ABC $\begin{vmatrix} a^2& b\sin A & C\sin A\\b\sin A&1&\cos(B-C)\\C\sin A&\cos (B-C) & 1\end{vmatrix}$ equals

asked Apr 22, 2014 by sreemathi.v

1 answer

If $A,B,C$ are angles of a triangle and $\begin{vmatrix} 1&1&1\\1+\sin A&1+\sin B&1+\sin C\\\sin A+\sin ^2A&\sin B+\sin^2B& \sin C+\sin^2C\end{vmatrix}=0$

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\alpha,\beta,\gamma$ are such that $\alpha+\beta+\gamma=0$ then $\begin{vmatrix}1&\cos \gamma&\cos \beta\\\cos \alpha& 1&\cos\alpha\\\cos \beta&\cos \alpha&1\end{vmatrix}$ is equal to

asked Apr 22, 2014 by sreemathi.v

1 answer

If $F(\alpha)=\begin{bmatrix}\cos \alpha&-\sin \alpha&0\\\sin \alpha&\cos \alpha&0\\0&0&1\end{bmatrix}$ $\alpha \in R$ then $[F(\alpha)]^{-1}$ is equal to

asked Apr 22, 2014 by sreemathi.v

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The value of $\begin{vmatrix}1&a&a^2-bc\\1&b& b^2-ca\\1&c&c^2-ab\end{vmatrix}$ is

asked Apr 22, 2014 by sreemathi.v

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If $A=\begin{bmatrix}\large\frac{1}{a}&a^2&bc\\\large\frac{1}{b}&b^2&ca\\\large\frac{1}{c}&c^2&ab\end{bmatrix}$ then $|A|$ is

asked Apr 22, 2014 by sreemathi.v

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Causative organisms of STDs: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Causative organisms of STDs: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Causative organisms of STDs: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding side effects of contraceptive methods: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding IUDs : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding Natural methods of contraception : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Distinctive Features of various Phyla: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Distinctive Features of various Phyla: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Distinctive Features of various Phyla: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Distinctive Features of various Phyla: Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Mammalia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Mammalia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Mammalia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Mammalia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Aves : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Aves : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Reptilia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Reptilia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Reptilia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding Amphibia : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding Osteichthyes : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding Osteichthyes : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Chondrichthyes : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Class – Cyclostomata : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum Echinodermata : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum Echinodermata : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Echinodermata : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Mollusca : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Mollusca : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Mollusca : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Arthropoda : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Arthropoda : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Arthropoda : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Phylum – Annelida : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Match the following and choose the most appropriate option: <tr><td> A. Ancylostoma </td> <td> 1. Filaria worm </td></tr> <tr><td> B. Ascaris </td> <td> 2. Hookworm </td></tr> <tr><td> C. Taenia </td> <td> 3. Round Worm </td></tr> <tr><td> D. Wuchereria </td> <td> 4. Tapeworm </td></tr>

asked Apr 2, 2014 by pady_1

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Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding Cnidarians : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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Regarding Cnidarians : Match the following and choose the most appropriate option:

asked Apr 2, 2014 by pady_1

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