10-question readiness test

A body starting from rest at t=0 moves along straight line with a constant accelaration .At t=2 s,the body reverses its direction keeping the acceleration same.The body returns to the intial position at  \(t=t_0,\ then\ t_0\)  is 

The semivertical angle of cone is  \(45^0\) .If the height of the cone is 20.025 cm, then the approximate value of its lateral surface area (in sq,cm) is 

\(i^2+i^3+\dotsc+i^{4000}=\)

The correct sequence of bond order is 

Let a,b,c  \(\in\ [R\)  be such that \( 2a+3b+6c=0\) and \(g(x)\) be the antiderivative of  \(f(x)=ax^2+bx+c\) . If the slopes of the tangents drawn to the curve \( y=g(x) \) at (1,g(1)) and (2,g(2)) are equal ,then

In  \(\triangle\)  ABC, if the median AD drawn through A is perpendicular to the side AC, then  \(3ca\ cosA \ cosC+2a^2=\)

\(\text { In } \triangle A B C \text {, suppose the radius of the circle opposite to an angle } A \text { is denoted by } r_{1,} \\\text {similarly } r_{2} \leftrightarrow \text { angle } B, r_{3} \leftrightarrow \text { angle } C \text {. If ' } r \text { ' is the radius of inscribed circle then,} \\\text {what is the value of }\frac{a b-r_{1} r_{2}}{r_{3}}=\)

A line passing through P(4,2) cuts the coordinate axes at A and B respectively .If O is the origin ,then the locus of the centre of the circum-circle of  \(\Delta OAB \)  is 

During the action of enzyme "Zymase", glucose is converted into , with the liberation of carbon dioxide gas.

In a communication network ,ninety eight percent of messages are transmitted with no error .If a random variable X denotes the number of incorrectly transmitted messages,then the probability that atmost one message is transmitted incorrectly out of  500 messages sent,is