A rectangle with sides 2m – 1 and 2n – 1 is divided into squares of unit length by drawing parallel lines as shown then number of rectangles possible with odd side lengths is

Using permutation or otherwise prove that is an integer, where n is a positive integer.

Find two values of k such that the points (2,-3), (3,0),(4,k) are collinear.

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

Here we used the concept of Arithmetic progression to find the number of terms in the given series. When we study Arithmetic Progression, which is associated with: There are two key formulas we encounter, those were nth term of AP and sum of the first n terms. So therefore the number of terms in this AP is 11.

The sum of all two digit numbers which when divided by 4 leaves 1 as remainder is

Here we used the concept of Arithmetic progression to find the number of terms in the given series. When we study Arithmetic Progression, which is associated with: There are two key formulas we encounter, those were nth term of AP and sum of the first n terms. So therefore the sum is 1210.

The value of current in the following diagrams is (diode assumed to be ideal one)

Three coins of unit radius are placed in an equilateral triangle as shown in the following figure The area of the equilateral triangle is

In Fig. is the potential barrier across a p-n junction, when no battery is connected across the junction:

The output of the given circuit in Fig.

A full wave rectifier along with the output is shown in fig. the contributions from the diode (2)are

Which of the following are not fundamental particles
i) Electron
ii) Photon
iii) α - Particle
iv) Deutron

The table that follows shows some measurements of the decay rate of a sample of ¹²⁸I , a radio nuclide often used medically as a tracer to measure the rate at which iodine is absorbed by the thyroid gland.


The half life for this radio nuclide.

Binding energy per nucleon versas mass number curve for nuclei is shown in the fig W,X,Y and Z are four nuclei indicated on the curve. The process that would release energy is

ABCD is a Parallelogram. AB and DM If AB = 18 cm, BC=12 cm and DM = 9 cm then find DL . 

ABCD is a Parallelogram, DL AB. If AB = 20 cm, AD = 13 cm and area of the Parallelogram is 100 cm², find AL.

Find the perimeter of the following figure.