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

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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 -

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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

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