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Degree of the given differential equation
`(("d"^3"y")/"dx"^2)^2 = (1 + "dy"/"dx")^(1/3)` is
Concept: undefined >> undefined
The probability distribution of a r.v. X is
| X = x | -3 | -2 | -1 | 0 | 1 |
| P(X = x) | 0.3 | 0.2 | 0.25 | 0.1 | 0.15 |
Then F (-1) = ?
Concept: undefined >> undefined
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In a ΔABC, cot `(("A - B")/2)* tan (("A + B")/2)` is equal to
Concept: undefined >> undefined
If `int_0^(pi/2) log (cos x) "dx" = - pi/2 log 2,` then `int_0^(pi/2) log (cosec x)`dx = ?
Concept: undefined >> undefined
In a ΔABC, c2 sin 2B + b2 sin 2C = ?
Concept: undefined >> undefined
The shortest distance between the lines
`bar"r" = (hat"i" + 2hat"j" + hat"k") + lambda (hat"i" - hat"j" + hat"k")` and
`bar"r" = (2hat"i" - hat"j" - hat"k") + mu(2hat"i" + hat"j" + 2hat"k")` is
Concept: undefined >> undefined
A coin is tossed 10 times. The probability of getting exactly six heads is ______.
Concept: undefined >> undefined
A square plate is contracting at the uniform rate of 3cm2/sec. The rate at which the perimeter is decreasing when the side of the square is 12 cm long is
Concept: undefined >> undefined
The degree of the differential equation `("d"^4"y")/"dx"^4 + sqrt(1 + ("dy"/"dx")^4)` = 0 is
Concept: undefined >> undefined
If the tangent to the curve y = 3x2 - 2x + 1 at a point Pis parallel toy = 4x + 3, the co-ordinates of P are
Concept: undefined >> undefined
A random variable X has the following probability distribution:
| X = x | 0 | 1 | 2 | 3 |
| P (X = x) | `1/10` | `1/2` | `1/5` | k |
Then the value of k is
Concept: undefined >> undefined
The maximum value of Z = 3x + 5y, subject to 3x + 2y ≤ 18, x ≤ a, y ≤ 6, x, y ≥ 0 is ______.
Concept: undefined >> undefined
In a ΔABC if 2 cos C = sin B · cosec A, then ______.
Concept: undefined >> undefined
The order and degree of the differential equation `[1 + ["dy"/"dx"]^3]^(7/3) = 7 (("d"^2"y")/"dx"^2)` are respectively.
Concept: undefined >> undefined
Out of 100 people selected at random, 10 have common cold. If five persons selected at random from the group, then the probability that at most one person will have common cold is ______.
Concept: undefined >> undefined
If a = sin 175°+ cos 175°, then ______.
Concept: undefined >> undefined
With usual notations, if the angles A, B, C of a Δ ABC are in AP and b : c = `sqrt3 : sqrt2`.
Concept: undefined >> undefined
If Xis a.r.v. with c.d.f F (x) and its probability distribution is given by
| X = x | - 1.5 | -0.5 | 0.5 | 1.5 | 2.5 |
| P(X = x) | 0.05 | 0.2 | 0.15 | 0.25 | 0.35 |
then, F(1.5) - F(- 0.5) = ?
Concept: undefined >> undefined
The LPP to maximize Z = x + y, subject to x + y ≤ 1, 2x + 2y ≥ 6, x ≥ 0, y ≥ 0 has ________.
Concept: undefined >> undefined
The order and degree of the differential equation `[1 + 1/("dy"/"dx")^2]^(5/3) = 5 ("d"^2y)/"dx"^2` are respectively.
Concept: undefined >> undefined
