If a ray stands on a line, then the sum of angles so formed is equal to `10^@`. Is this system of axioms consistent? Justify your answer.

If a ray stands on a line, then the sum of the two adjacent angles so formed is............... .

A capacitor of 10 microfarad is connected in series with a resistance of 2.2 xx 10^5 ohm. Determine the time constant for the circuit. Can we think of oscillations in this circuit, such that the frequency is equal to the inverse of the time constant? Justify your answer with proper explanation.

If the sum of the first n terms of a sequence is of the form An^2+ Bn , where A, B are constants independent of n, show that the sequence is an A.P. Is the converse true ? Justify your answer.

For what value of x+y in Fig. will ABC be a line? Justify your answer

Two dice are thrown. The events A, B and C are as follows: A: getting an even number on the first die. B: getting an odd number on the first die. C: getting the sum of the numbers on the dice le 10 . state true or false: (give reason for your answer):- A',B', C are mutually exclusive and exhaustive.

An electron and a proton are freely situated in an electric field. Will the electric force on them be equal? Will their acceleration be equal ? Justify your answer.

If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is

If two lines intersect and one of the angles so formed is a right angle, then the other three angles will not be right angles.