Maths-
General
Easy
Question
A, B, C & D are four points in a plane with position vectors 
respectively such that 
Then for the triangle ABC, D is its:
- incentre
- circumcentre
- orthocentre
- centroid
The correct answer is: orthocentre
Related Questions to study
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Equation of the angle bisector of the angle between the lines 
Equation of the angle bisector of the angle between the lines
maths-General
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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 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 -
maths-General
maths-
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 :
maths-General
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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 :
maths-General
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and 
is equal to :
and is equal to :
maths-General
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If ABCDEF is a regular hexagon and if 
then 
If ABCDEF is a regular hexagon and if then
maths-General
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If 
is along the angle bisector of 
then -
If is along the angle bisector of then -
maths-General
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If the solution of the differential equation 
If the solution of the differential equation
maths-General
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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
maths-General
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The solution of the differential equation 
The solution of the differential equation
maths-General
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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.
maths-General
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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
maths-General
Maths-
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
Maths-General
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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)
maths-General
