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The points A (x1, y1), B (x2, y2) and C (x3 y3) are the vertices of ABC. (i) The median from A meets BC at D. Find the coordinates of the point D. (ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1 (iii) Find the coordinates of points Q and R on medians BE and CF, respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1 (iv) What are the coordinates of the centroid of the triangle ABC?

As per the given details The vertices of ΔABC = A, B and C Coordinates of A, B and C = A(x1, y1), B(x2, y2), C(x3, y3) (i) As per the... View Article

A (6, 1), B (8, 2) and C (9, 4) are three vertices of a parallelogram ABCD. If E is the midpoint of DC, find the area of △ ADE.

Given The three vertices of a parallelogram ABCD are A (6, 1), B (8, 2) and C (9, 4) Find out Let the fourth vertex of parallelogram = (x, y),... View Article

If (- 4, 3) and (4, 3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

Given Two vertices of an equilateral triangle= (– 4, 3) and (4, 3) Find out We have to determine the third vertex Solution Let... View Article

In what ratio does the x-axis divide the line segment joining the points (- 4, – 6) and (-1, 7)? Find the coordinates of the point of division.

Let the ratio in which x-axis divides the line segment joining (–4, –6) and (–1, 7) = 1: k. Then the coordinates can be... View Article

Find the area of the triangle whose vertices are (-8, 4), (-6, 6) and (-3, 9).

Given The vertices are: (x₁, y₁) = (-8, 4) (x₂, y₂) = (-6, 6) (x₃, y₃) = (-3, 9) Find out We have to determine the area of a triangle Formula... View Article

If the point A (2, – 4) is equidistant from P (3, 8) and Q (-10, y), find the values of y. Also find distance PQ.

The given points are A (2, – 4) P (3, 8) and Q (–10, y). We have to determine the value of y According to the given details PA=QA... View Article

Find the value of m if the points (5, 1), (-2, -3) and (8, 2m) are collinear.

Given We are given with the points (5, 1), (–2, –3) and (8, 2m) that are collinear Find out We have to determine if the value... View Article

Find the coordinates of the point Q on the x-axis which lies on the perpendicular bisector of the line segment joining the points A (-5, -2) and B(4, -2). Name the type of triangle formed by the points Q, A and B.

Point Q is the midpoint of AB as the point P lies on the perpendicular bisector of AB. From mid point formula: (x1 + x2)/2 =... View Article

Find a point which is equidistant from the points A (-5, 4) and B (-1, 6)? How many such points are there?

Given A (–5, 4) and B (–1, 6) Find out We have to determine a point which is equidistant from the given points Solution Distance... View Article

Who is the leader of Wahabi movement?

The leader of the Wahabi movement was Syed Ahmad Barelvi. The Wahhabi Movement in India was a vigorous movement for socio-religious reforms in... View Article

Which was the main Centre of the Wahabi movement in India?

The important centre of the Wahabi movement in India was Patna. It also had its missions in Hyderabad, Madras, Bengal, UP and Bombay. It was... View Article

What was the aim of the Wahabi movement?

The aim of the Wahabi movement was to overthrow the SIkhs in Punjab and by extension the British all over India and restore the lost glory of the... View Article

Who started the Wahhabi movement and why?

The Wahhabi movement was started by Sayyid Ahmad of Rae Bareli. It was a vigorous movement for socio-religious reforms in Indo-Islamic society in... View Article

Who started the Faraizi movement?

The Faraizi movement was started and led by Haji Shariatullah in 1819. The movement extolled Muslims of Bengal to give up un-Islamic practices... View Article

Where did the Ahmadiyya movement start?

The Ahmadiyya movement began in 1889 in the province of Punjab, then a part of British India. It was founded by Mirza Ghulam Ahmad. The movement... View Article

What was the importance of the Faraizi movement?

The Faraizi movement was important because it gave encouragement to the Muslims at the time when they were demoralized by the oppression they... View Article

Why did the Faraizi movement fail?

The Faraizi movement failed because it was propagated in British territory and was crushed as soon as it became a threat. The Faraizi movement... View Article

When did the Faraizi movement begin to decline?

The Faraizi movement began to decline with the death of Dudu Miyan in 1862. ALready the movement was beset with the influx of money extortion and... View Article

Who opposed the Aligarh movement?

The chief detractors of the Aligarh Movement were the conservative theologians of the time who blamed Sir Syed for promoting Western ethics and... View Article

What was the concept of two nation theory?

The Two-Nation theory stated that Hindus and Muslims in India are two distinct communities that could not exist within a single state without... View Article

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