Mathematics Tes...

If tanA + tan B + tan C = tan A. tan B. tan C, then

The mean of 5 observations is 4.4 and their variance is 8.24. If three observations are 1, 2 and 6. Then the other two observations are

The probability that a man can hit a target is (3/4). He tries 5 times. The probability that he will hit the target at least three times is

Four numbers are multiplied together. Then the probability that the product will be divisible by 5 or 10 is

The general solution of the equation sin¹⁰⁰ x – cos¹⁰⁰x = 1, is

The number of common tangents that can be drawn to the circle x² + y² – 4x – 6y – 3 = 0 and x² + y² + 2x + 2y + 1 = 0 is

If the locus of the point of intersection of perpendicular tangents to the ellipse  is a circle with centre at (0, 0), then the radius of the circle would be

If f (–3) = f (2) = 0 and f ´(–3) < 0, for the function f(x) = x³ + ax² + bx + c then the largest integral value of c is

For a > b > c > 0, the distance between (1, 1) and the point of intersection of the lines ax + by + c = 0 and bx + ay + c = 0 is less than  then

The variable straight line 3x (a + 1) + 4y(a – 1) – 3(a –1) = 0 for different values of ‘a’ passes through a fixed point whose coordinates are