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Recent questions tagged p264

An equilateral triangle is inscribed in the parabola $ y^2 = 4 ax$, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle

asked Jul 24, 2014 by thanvigandhi_1

1 answer

A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.

asked Jul 24, 2014 by thanvigandhi_1

1 answer

Find the area of the triangle formed by the lines joining the vertex of the parabola $ x^2 = 12y $ to the ends of its latus rectum.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?

asked Jul 23, 2014 by thanvigandhi_1

1 answer

If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.

asked Jul 23, 2014 by thanvigandhi_1

1 answer

The system of equations $ax+y+z=0; x+by+z=0; x+y+cz=0 $ has a non-trivial solution then $\large\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=$

asked May 7, 2013 by poojasapani_1

1 answer

In a system of $3$ linear non-homogeneous equation with three unknowns,if $\bigtriangleup=0\;$ and $\;\bigtriangleup_{x}=0 ,\bigtriangleup_y\neq 0 $ and $ \bigtriangleup_z=0$ then the system has

asked May 7, 2013 by poojasapani_1

1 answer

Inverse of $\begin{bmatrix}2& -1 \\-5 & 3 \end{bmatrix}$ is

asked May 7, 2013 by poojasapani_1

1 answer

If $A$=$\begin{bmatrix} 0 & 0 \\0 & 5 \end{bmatrix}$, then $A^{12}$ is

asked May 7, 2013 by poojasapani_1

1 answer

If $A$ and $B$ are any two matrices such that $AB=O$ and $A$ is non-singular, then

asked May 7, 2013 by poojasapani_1

1 answer

If $I$ is the unit matrix of order $n$. Where$K\neq 0$ is a constsnt , then adj (KI)=

asked May 7, 2013 by poojasapani_1

1 answer

If $A$ is a matrix of order $3$, then det($kA$)

asked May 7, 2013 by poojasapani_1

1 answer

The inverse of the matrix $\begin{bmatrix} 0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \end{bmatrix}$ is

asked May 7, 2013 by poojasapani_1

1 answer

If $A$ is a square matrix of order $n$ then |adj$A$| is

asked May 7, 2013 by poojasapani_1

1 answer

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