Maths-
General
Easy
Question
The sine of angle formed by the lateral face ADC and plane of the base ABC of the tetrahedron ABCD where A º (3, –2, 1) ; B º (3, 1, 5); C º (4, 0, 3) and D º (1, 0, 0) is -
The correct answer is: 
Related Questions to study
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Four coplanar forces are applied at a point O. Each of them is equal to k and the angle between two consecutive forces equals 45º as shown in the figure. Then the resultant has the magnitude equal to :

Four coplanar forces are applied at a point O. Each of them is equal to k and the angle between two consecutive forces equals 45º as shown in the figure. Then the resultant has the magnitude equal to :

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be vectors of length 3,4,5 respectively.
be perpendicular to
and
is equal to :
be vectors of length 3,4,5 respectively.
be perpendicular to
and
is equal to :
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and
is equal to :
and
is equal to :
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If ABCDEF is a regular hexagon and if
then 
If ABCDEF is a regular hexagon and if
then 
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If
is along the angle bisector of
then -
If
is along the angle bisector of
then -
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If the solution of the differential equation 
If the solution of the differential equation 
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A curve passes through the point
Let the slope of the curve at each point (x, y) be
Then the equation of the curve is
A curve passes through the point
Let the slope of the curve at each point (x, y) be
Then the equation of the curve is
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The solution of the differential equation

The solution of the differential equation

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Statement-I : Integral curves denoted by the first order linear differential equation
are family of parabolas passing through the origin.
Statement-II : Every differential equation geometrically represents a family of curve having some common property.
Statement-I : Integral curves denoted by the first order linear differential equation
are family of parabolas passing through the origin.
Statement-II : Every differential equation geometrically represents a family of curve having some common property.
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A function f(x) satisfying
where x>0 , is
A function f(x) satisfying
where x>0 , is
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(where c is an arbitrary constant) is the general solution of the differential equation
then the function 
(where c is an arbitrary constant) is the general solution of the differential equation
then the function 
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A function y = f (x) satisfies the condition f '(x) sin x + f (x) cos x = 1, f (x) being bounded when x
0. If 
A function y = f (x) satisfies the condition f '(x) sin x + f (x) cos x = 1, f (x) being bounded when x
0. If 
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Statement-I : In throwing of two dice, let the events A, B and C be 'the first dice shows an even number', 'the second dice shows an odd numbers' and 'both the dice show an odd numbers or both the dice show an even number’ respectively. Then
and
Therefore A, B and C are mutually independent events
Statement-II : Three events A, B and C are mutually independent if and only if P(A Ç B) = P(A) . P(B), P(B Ç C) = P(B) . P(C),
= P(C) . P(A) and
= P(A) . P(B) . P(C)
Statement-I : In throwing of two dice, let the events A, B and C be 'the first dice shows an even number', 'the second dice shows an odd numbers' and 'both the dice show an odd numbers or both the dice show an even number’ respectively. Then
and
Therefore A, B and C are mutually independent events
Statement-II : Three events A, B and C are mutually independent if and only if P(A Ç B) = P(A) . P(B), P(B Ç C) = P(B) . P(C),
= P(C) . P(A) and
= P(A) . P(B) . P(C)
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The probability that 4th power of a positive integer ends in the digit 6 is:
The probability that 4th power of a positive integer ends in the digit 6 is:
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Let A, B, C be pairwise independent events with P(C)> 0 and
. Then 
Let A, B, C be pairwise independent events with P(C)> 0 and
. Then 
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