Recent questions tagged class11

If the line $y=mx+1$ is tangent to the parabola $y^2=4x$ then find the value of $m$.

asked Oct 10, 2014 by sreemathi.v

1 answer

If the points $(0,4)$ and $(0,2)$ are respectively the vertex and focus of a parabola,then find the equation of the parabola.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the length of the line-segment joining the vertex of the parabola $y^2=4ax$ and a point on the parabola where the line-segment makes an angle $\theta$ to the $x$-axis.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the coordinates of a point on the parabola $y^2 = 8x$ whose focal distance is 4.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the distance between the directrices of the ellipse $\large\frac{x^2}{36}+\frac{y^2}{20}$$=1$.

asked Oct 9, 2014 by sreemathi.v

1 answer

Find the equation of ellipse whose eccentricity is $\large\frac{2}{3}$ , latus rectum is 5 and the centre is (0, 0).

asked Oct 9, 2014 by sreemathi.v

1 answer

If the eccentricity of an ellipse is $\large\frac{5}{8}$ and the distance between its foci is 10, then find latus rectum of the ellipse.

asked Oct 9, 2014 by sreemathi.v

1 answer

Given the ellipse with equation $9x^2+25y^2=225$,find the eccentricity and foci.

asked Oct 9, 2014 by sreemathi.v

1 answer

If the latus rectum of an ellipse is equal to half of minor axis,then find its eccentricity.

asked Oct 9, 2014 by sreemathi.v

1 answer

Find the equation of a circle concentric with the circle $x^2+y^2-6x+12y+15=0$ and has double of its area.

asked Oct 9, 2014 by sreemathi.v

1 answer

If the line $y=\sqrt 3x+k$ touches the circle $x^2+y^2=16$,then find the value of $k$.

asked Oct 8, 2014 by sreemathi.v

1 answer

Find the equation of the circle having $(1,-2)$ as its centre and passing through $3x+y=14,2x+5y=18$.

asked Oct 8, 2014 by sreemathi.v

1 answer

If one end of a diameter of the circle $x^2+y^2-4x-6y+11=0$ is $(3,4)$,then find the coordinate of the other end of the diameter.

asked Oct 8, 2014 by sreemathi.v

1 answer

Find the equation of a circle which touches both the axes and the line $3x-4y+8=0$ and lies in the third quadrant.

asked Oct 8, 2014 by sreemathi.v

1 answer

A spring whose natural length is 15 cm exerts a force of 45 N when stretched to a length of 20 cm.Find the work done in stretching the spring from a length of 20 cm to a length of 25 cm

asked Sep 2, 2014 by sreemathi.v

1 answer

A force of 1200 N compresses a spring from its natural length of 18 cm to a length of 16 cm. How much work is done in compressing it from 16 cm to 14 cm?

asked Sep 2, 2014 by sreemathi.v

1 answer

A spring is stretched 60 cm, and it takes a force of 40 Newtons to hold it there. How much work did it take to stretch the spring to this point?

asked Sep 2, 2014 by sreemathi.v

1 answer

A wall is tilted in by $15^{\large\circ}$,and a 2kg block is placed against the wall.The block is held in place with a spring.The coefficients of friction between the block and the wall are $\mu_s=0.61$ and $\mu_k=0.49$.Holding the block in place requires that the spring be compressed by 12cm.What is the spring constant of the spring?

asked Sep 2, 2014 by sreemathi.v

1 answer

It takes 100J of work to stretch a spring 0.5m from its equilibrium position.How much work is needed to stretch it an additional 0.75m?

asked Sep 2, 2014 by sreemathi.v

1 answer

A force of 6 N is required to stretch a string from a natural length of 4 m to a length of 4.5 m.What work is required to stretch it to a length of 6 m.

asked Sep 2, 2014 by sreemathi.v

1 answer

Suppose 2 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm.Then how far beyond its natural length will a force of 30 N keep the spring stretched?

asked Sep 2, 2014 by sreemathi.v

1 answer