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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

SSLC (English Medium) Class 9 - Tamil Nadu Board of Secondary Education Question Bank Solutions

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Determine whether the given set of points are collinear or not

(7, −2), (5, 1), (3, 4)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Determine whether the given set of points are collinear or not

(a, −2), (a, 3), (a, 0)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

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Show that the following points taken in order to form an isosceles triangle

A(5, 4), B(2, 0), C(−2, 3)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Show that the following points taken in order to form an isosceles triangle

A(6, −4), B(−2, −4), C(2, 10)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Show that the following points taken in order to form an equilateral triangle

`"A"(2, 2), "B"(-2, -2), "C"(-2sqrt(3), 2sqrt(3))`

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Show that the following points taken in order to form an equilateral triangle

`"A"(sqrt(3), 2), "B"(0, 1), "C"(0, 3)`

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Show that the following points taken in order to form the vertices of a parallelogram

A(−3, 1), B(−6, −7), C(3, −9) and D(6, −1)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Show that the following points taken in order to form the vertices of a parallelogram

A(−7, −3), B(5, 10), C(15, 8) and D(3, −5)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Verify that the following points taken in order to form the vertices of a rhombus

A(3, −2), B(7, 6), C(−1, 2) and D(−5, −6)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Verify that the following points taken in order to form the vertices of a rhombus

A(1, 1), B(2, 1), C(2, 2) and D(1, 2)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

A(−1, 1), B(1, 3) and C(3, a) are point and if AB = BC, then find ‘a’

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

The abscissa of a point A is equal to its ordinate, and its distance from the point B(1, 3) is 10 units, What are the coordinates of A?

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

The point (x, y) is equidistant from the points (3, 4) and (−5, 6). Find a relation between x and y

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Let A(2, 3) and B(2, −4) be two points. If P lies on the x-axis, such that AP = `3/7` AB, find the coordinates of P.

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

Show that the point (11, 2) is the centre of the circle passing through the points (1, 2), (3, −4) and (5, −6)

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

The radius of a circle with centre at origin is 30 units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

The point whose ordinate is 4 and which lies on the y-axis is _______________

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

The distance between the two points (2, 3) and (1, 4) is ______

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

If the points A(2, 0), B(– 6, 0), C(3, a – 3) lie on the x-axis then the value of a is _____

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined

If (x + 2, 4) = (5, y – 2), then the coordinates (x, y) are _____

[5] Coordinate Geometry
Chapter: [5] Coordinate Geometry
Concept: undefined >> undefined
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