Mathematics (St...

A card is drawn from a well shuffled deck of cards. What is the probability that the card drawn is neither a king nor a queen?

Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is

If \(1+sin^2{\alpha}=3\,sin\,\alpha\,cos\,\alpha\), then values of \(cot\,\alpha\) are 

The vertices of a parallelogram in order are A(1,2), B(4, y), C(x, 6) and D(3,5). Then (x, y) is

The equation of the perpendicular bisector of line segment joining points A(4,5) and B(-2,3) is

The smallest number by which 1/13 should be multiplied so that its decimal expansion terminates after two decimal places is

Point P divides the line segment joining R(-1, 3) and S(9,8) in ratio k:1. If P lies on the line x – y + 2=0, then value of k is

If 2 and \(\frac12\) are the zeros of \(p\text x^2+5\text x+r\), then

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is

The number of solutions of \(3^{(\text x + y)}\) = 243 and \(243^{(\text x - y) }\) = 3 is

What is the value of k?

At what time will she touch the water in the pool?

Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes -1 and 2. Then p(t) is given by-

A polynomial q(t) with sum of zeroes as 1 and the product as -6 is modelling Anu’s height in feet above the water at any time t( in seconds). Then q(t) is given by

The zeroes of the polynomial r(t) = -12\(t^2\) + (k - 3)t + 48 are negative of each other. Then k is

The coordinates of the centroid of \(\triangle EHJ\) are

If a player P needs to be at equal distances from A and G, such that A, P and G are in straight line, then position of P will be given by

The point on x axis equidistant from I and E is

What are the coordinates of the position of a player Q such that his distance from K is twice his distance from E and K, Q and E are collinear?

The point on y axis equidistant from B and C is