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Recent questions tagged q5-b

The unit cell of metallic gold is face centred cubic.What is the mass of a gold unit cell?

asked Jul 31, 2014 by sreemathi.v

1 answer

Out of 100 students,two sections of 40 and 60 are formed.If you and your friend are among the 100 students,what is the probability that,you both enter the different sections?

asked Jul 2, 2014 by sreemathi.v

1 answer

Which term of the sequence $\sqrt 3,3,3\sqrt 3.......$ is $729?$

asked Feb 25, 2014 by rvidyagovindarajan_1

1 answer

Find the vector and cartesian equations of the planes $(b) \quad \text{that passes through the point} \; (1, 4, 6) \; \text{and the normal to the plane is } \hat i-2\hat j + \hat k $

asked May 10, 2013 by rvidyagovindarajan_1

1 answer

A sphere $x^2+y^2+z^2-3ax-3by-3cz=0$ has a constant radius $3r$.It cuts the axes at the point A,B and C.Show that the centroid of the triangle ABC lies on the sphere $x^2+y^2+z^2=4r^2$

asked Apr 22, 2013 by sreemathi.v

0 answers

Evaluate :$\Large \int_{\normalsize 0}^{\large \frac{1}{2}} \large \frac{\sin^{-1}x}{(1-x^2)^\frac{3}{2}}$$dx$

asked Apr 18, 2013 by sreemathi.v

0 answers

Prove that the area of right-angled traingle of a given hypotenuse is maximum when the triangle is isosceles.

asked Apr 17, 2013 by sreemathi.v

0 answers

Find the volume of the largest cone that can be inscribed in a sphere of radius R.

asked Apr 16, 2013 by sreemathi.v

0 answers

Show that the semi-vertical angle of a cone of maximum volume and of given slant height is $\tan^{-1}(\sqrt 2).$

asked Apr 16, 2013 by sreemathi.v

0 answers

An open box with a square base is to be made out of a given quantity of cardboard whose area is $c^2$ square units.Show that the maximum volume of the box is $\large\frac{c^3}{6\sqrt 3}$cubic units.

asked Apr 15, 2013 by sreemathi.v

0 answers

A wire of length 20m is available to fence off a flower bed in the form of a sector of a circle.What must be the radius of the circle,if we wish to have a flower bed with the greatest possible area?

asked Apr 12, 2013 by sreemathi.v

1 answer

A closed right circular cylinder has volume $\large\frac{539}{2}$cubic units.Find the radius and the height of the cylinder so that the total surface area is minimum.

asked Apr 12, 2013 by sreemathi.v

1 answer

Draw a rough sketch of the curves $y=(x-1)^2$ and $y=(x-1)$.Hence,find the area of the region bounded by these curves.

asked Apr 11, 2013 by sreemathi.v

0 answers

A printed page is to have a total area of 80 sq.cm with a margin of 1 cm at the top and on each side and a margin of 1.5 cm at the bottom.What should be the dimensions of the page so that the printed area will be maximum?

asked Apr 10, 2013 by sreemathi.v

0 answers

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