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Recent questions tagged p78

$y^{2}$=$(x-a)(x-b)^{2};a,b>0,a>b,$

asked Apr 24, 2013 by poojasapani_1

1 answer

$y^{2}$=$x^{2}(1-x)$

asked Apr 24, 2013 by poojasapani_1

1 answer

Trace the curve : $y^{2}(2+x)=x^{2}(6-x)$

asked Apr 24, 2013 by poojasapani_1

1 answer

Trace the curve: $y^{2}$$=x^{2}(1-x^{2})$

asked Apr 24, 2013 by poojasapani_1

1 answer

Trace the curve $y$=$x^{3}$ Discuss the following curves for extence,symmetry,Asymptotes and loops

asked Apr 24, 2013 by poojasapani_1

1 answer

Find the magnitude and direction cosines of the moment about the point $(1, -2 ,3)$ of a force $\overrightarrow{2i}+\overrightarrow{3j}+\overrightarrow{6k}$ Whose line of action passes through the origin.

asked Apr 5, 2013 by poojasapani_1

1 answer

Show that the torque about the point $ A(3, -1, 3 )$ of a force $\overrightarrow{4i}+\overrightarrow{2j}\overrightarrow{k}$ throught the point $\overrightarrow\;B(5, 2, 4)$ is $\overrightarrow{i}+\overrightarrow{2j}-\overrightarrow{8k}$.

asked Apr 5, 2013 by poojasapani_1

1 answer

Forces $\overrightarrow{2i}+\overrightarrow{7j}, \overrightarrow{2i}-\overrightarrow{5j}+\overrightarrow{6k}, \overrightarrow{-i}+\overrightarrow{2j}-\overrightarrow{k}$ act at a point $P$ Whose position vector is $\overrightarrow{4i}-\overrightarrow{3j}-\overrightarrow{2k}.$ Find the moment of the resultant of three forces acting at $P$ about the point $Q$ whose position vector is $\overrightarrow{6i}+\overrightarrow{j}-\overrightarrow{3k}.$

asked Apr 5, 2013 by poojasapani_1

1 answer

Prove that sin $(A - B)$= sin $ A$ cos $B$ - cos $A$ sin $B$.

asked Apr 5, 2013 by poojasapani_1

1 answer

Prove that twice the area of parallelogram is equal to the area of another parallelogram formed by taking as its adjacent sides the diagonals of the former parallelogram.

asked Apr 5, 2013 by poojasapani_1

1 answer

Prove by the vector method, thet the parallelogram on the same base and between the same parallels are equal in area.

asked Apr 5, 2013 by poojasapani_1

1 answer

Find the area of the triangle whose vertices are $(3, -1, 2), (1 ,-1, -3 ), $and $(4, -3, 1) $

asked Apr 5, 2013 by poojasapani_1

1 answer

Find the area of the parallelogram determined by the sides $\overrightarrow{i}+\overrightarrow{2j}+\overrightarrow{3k}$ and $-\overrightarrow{3i}-\overrightarrow{2j}+\overrightarrow{k}$

asked Apr 5, 2013 by poojasapani_1

1 answer

If $\begin{vmatrix}4+x& 4-x & 4-x\\4-x & 4+x & 4-x\\4-x & 4-x & 4+x\end{vmatrix}$,then find the values of x.

asked Mar 18, 2013 by sreemathi.v

1 answer

If the coordinates of the vertices of an equilateral triangle with sides of length 'a' are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ then \[{\begin{vmatrix}x_1 & y_1 &1\\x_2 & y_2 &1\\x_3 & y_3 & 1\end{vmatrix}}^2=\frac{3a^4}{4}.\]

asked Mar 15, 2013 by sreemathi.v

1 answer

If A+B+C=0,then prove that $\begin{vmatrix}1& cosC &cos B\\cos C& 1 &cos A\\cos B & cos A &1\end{vmatrix}=0.$

asked Mar 15, 2013 by sreemathi.v

1 answer

Using the properties of determinants,\[\begin{vmatrix}a^2+2a &2a+1 & 1\\2a+1 & a+2 & 1\\3 & 3 & 1\end{vmatrix}=(a-1)^3\]

asked Mar 15, 2013 by sreemathi.v

1 answer

show that the $\Delta$ABC is an isosceles triangle if the determinant\[\Delta=\begin{bmatrix}1 & 1& 1\\1+\cos A & 1+\cos B & 1+\cos C\\\cos^2A+\cos A & \cos^2B+\cos B & \cos^2C+\cos C\end{bmatrix}=0\]

asked Dec 26, 2012 by sreemathi.v

1 answer

Show that the point(a+5,a-4),(a-2,a+3) and (a,a) do not lie on a straight line for any value of a.

asked Dec 24, 2012 by sreemathi.v

1 answer

If $a_1,a_2,a_3,....,a_r$ are in G.P., then prove that the determinant $\begin{vmatrix} a_{r-1} & a_{r-5} & a_{r-9} \\ a_{r-7} & a_{r-11} & a_{r-15} \\ a_{r-13} & a_{r-17} & a_{r-21} \end{vmatrix} is\; independent\; of\; r$

asked Dec 24, 2012 by sreemathi.v

1 answer

Find the value of $\theta$ satisfying $\begin{bmatrix} 1 & 1 & \sin3\theta \\ -4 & 3 & \cos2\theta \\ 7 & -7 & -2 \end{bmatrix}\;=\;0$

asked Dec 24, 2012 by sreemathi.v

1 answer

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