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

Rewrite the following polynomial in standard form

`x - 9 + sqrt(7)x^3 + 6x^2`

Rewrite the following polynomial in standard form

`sqrt(2)x^2 - 7/2 x^4 + x - 5x^3`

Rewrite the following polynomial in standard form

`7x^3 - 6/5x^2 + 4x - 1`

Rewrite the following polynomial in standard form

`y^2 + sqrt(5)y^3 - 11 - 7/3y + 9y^4`

Find the distance between the following pair of points

(1, 2) and (4, 3)

Find the distance between the following pair of points

(3, 4) and (−7, 2)

Find the distance between the following pair of points

(a, b) and (c, b)

Find the distance between the following pair of points

(3, −9) and (−2, 3)

Determine whether the given set of points are collinear or not

(7, −2), (5, 1), (3, 4)

Determine whether the given set of points are collinear or not

(a, −2), (a, 3), (a, 0)

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

A(5, 4), B(2, 0), C(−2, 3)

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

A(6, −4), B(−2, −4), C(2, 10)

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

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

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

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

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)

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)

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)

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)

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

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?