Mathematics Tes...

What is the value of \(\sin \left(-1125^{\circ}\right)\)?

A Cartesian product \(A \times B\) consists of 6 elements. If three of these are \((2,4),(4,6)\) and (5, 6), find the Cartesian set \({B} \times {A}\).

The differential form of the equation \(y ^2+( x - b )^2= c\)

If the points \((-2, -5), (2, -2)\) and \((8, a)\) are collinear, then the value of \(a\) is:

Let \(A=\{x, y, z\}\) and \(B=\{1,2,3,4,5\}\). What is the number of elements in \(A \times B\)?

If the direction cosines of a line are \(\left(\frac{1}{k}, \frac{2}{k},-\frac{2}{k}\right)\), then \(k\) is:

In a town of 10000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspaper, then the number of families which buy A only is:

If \(|\vec{a}|=3,|\vec{b}|=4\) and \(|\vec{a}-\vec{b}|=5\), then what is the value of \(|\vec{a}+\vec{b}| ?\)

A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is: