Mix Test 13...

Which term of the AP 24, 21, 18, 15, ………. is the first negative term?

The value of p for which the quadratic equation \(\mathrm{x^2 - 2px + 1 = 0}\) has no real roots is

Five cards – the ten, jack, queen, king and ace of diamonds are well-shuffled with their faces downwards. One card is then picked up at random.

What is the probability that the drawn card is the queen?

Five cards – the ten, jack, queen, king and ace of diamonds are well-shuffled with their faces downwards. One card is then picked up at random.

If the queen is drawn and put aside and a second card is drawn. What is the probability that the \(2^{nd}\) card is an ace?

Five cards – the ten, jack, queen, king and ace of diamonds are well-shuffled with their faces downwards. One card is then picked up at random.

What is the probability that the second card is queen?

Five cards – the ten, jack, queen, king and ace of diamonds are well-shuffled with their faces downwards. One card is then picked up at random.

From five cards, two cards are drawn. Find the probability that the drawn cards are an ace and ten?

Five cards – the ten, jack, queen, king and ace of diamonds are well-shuffled with their faces downwards. One card is then picked up at random.

The probability that an ordinary year has 53 Mondays is :

If \(3\cos^2\theta + 7\sin^2\theta\) = 4. Then \(\cot\theta\) = ?

A polynomial has three zeroes, \(\alpha = 3,\) \(\beta = \frac{1}{2}\) and \(\gamma = -1\)

Given polynomial is a

A polynomial has three zeroes, \(\alpha = 3, \beta =\frac{1}{2}\) and \(\gamma = -1\)

Sum of the zeroes is :

A polynomial has three zeroes, \(\alpha = 3, \beta =\frac{1}{2}\) and \(\gamma = -1\)

Value of \(\alpha\beta +\beta\gamma + \gamma\alpha\) is:

A polynomial has three zeroes, \(\alpha = 3, \beta =\frac{1}{2}\) and \(\gamma = -1\).

Product of the zeroes is:

A polynomial has three zeroes, \(\alpha = 3,\beta =\frac{1}{2}\) and \(\gamma = -1\)

Given polynomial can be calculated as :

The points A(a, a), B(–a, –a) and C\((-a\sqrt 3, a\sqrt 3)\) are the vertices of which triangle?

\((5 - \sqrt 3)\) is

Rs. 250 is divided equally among a certain number of children. If there were 25 more children, each would have received 50 paisa less. Then the number of children is