Mathematics Tes...

Let a, b and c be such that b(a + c) ≠0. If , then the value of n is

Find .

If a₁ , a₂ , a₃ ,....,a₂₀ are the arithmetic means between 13 and 67, then the maximum value of the product a₁ ⋅a₂ ⋅a₃ ⋅....a₂₀ is

The locus of the mid point of the line segment joining the focus to a moving point on the parabola y² = 4ax is another parabola with directrix

The length of the diameter of the circle which touches the X-axis at the point (1, 0) and passes through the point (2, 3) is

If line   and  intersect, then  k=

The p.d.f of a random variable x is given by f(x) = 1/4a, 0 0) = 0, otherwise and Pthen k = ...

The solution of the differential equation ydx - xdy = xy dx is  

If, then n = ........

If the standard deviation of the random variable X is and mean is 3p then E(x²) = ...

If this represented by (1 + sin² θ)x² + 2hxy + 2sin(θ)y² = 0, θ∈[0, 2 π] are perpendicular to each other then θ= .......

If R is the circum radius of ΔABC, then A (ΔABC) = .......

If (-√2, √2) are cartesian co-ordinates of the point, then its polar co-ordinates are......

II A is non-singular matrix and (A + l) (A - l) = 0 then A + A ^-1= ....

The y-intercept of the line passing through A(6, 1) and perpendicular to the line x - 2y = 4 is ........

In ΔABC, if tan A +tan B + tan C = 6 and tanA.tanB = 2 then tan C = ......

For LP.P, maximize z = 4x, + 2x₂subject to 3x₁+ 2x₂≥ 9, x₁- x₂≤3, x₁≥ 0, x₂≥ 0 has...