SSC (English Medium) 10th Standard - Maharashtra State Board Question Bank Solutions for Geometry Mathematics 2

Find the distance between the following pairs of point.

W `((- 7)/2 , 4)`, X (11, 4)

Determine whether the points are collinear.

A(1, −3), B(2, −5), C(−4, 7)

Determine whether the points are collinear.

 L(–2, 3), M(1, –3), N(5, 4)

Four alternative answers for the following question are given. Choose the correct alternative and write its alphabet:

Out of the dates given below which date constitutes a Pythagorean triplet?

Determine whether the point is collinear.

R(0, 3), D(2, 1), S(3, –1)

Determine whether the points are collinear.

P(–2, 3), Q(1, 2), R(4, 1)

Show that the points A(1, 2), B(1, 6), C(1 + 2`sqrt3`, 4) are vertices of an equilateral triangle.

In ∆ABC, B - D - C and BD = 7, BC = 20 then find following ratio. 

`"A(∆ ABD)"/"A(∆ ADC)"`

Ratio of areas of two triangles with equal heights is 2 : 3. If base of the smaller triangle is 6 cm then what is the corresponding base of the bigger triangle ?

In the given figure, ∠ABC = ∠DCB = 90° AB = 6, DC = 8 then `(A(Δ ABC))/(A(Δ DCB))` = ?

In the figure, PM = 10 cm, A(∆PQS) = 100 sq.cm, A(∆QRS) = 110 sq. cm, then find NR.

Find the distances between the following point.
A(a, 0), B(0, a)

Find the distances between the following point.

P(–6, –3), Q(–1, 9) 

Find the distances between the following point.

R(–3a, a), S(a, –2a)

AB and AC are the two chords of a circle whose radius is r. If p and q are
the distance of chord AB and CD, from the centre respectively and if
AB = 2AC then proove that 4q2 = p² + 3r².

Distance of point (−3, 4) from the origin is ______.

From the given number line, find d(A, B):

Show that the points (2, 0), (–2, 0), and (0, 2) are the vertices of a triangle. Also, a state with the reason for the type of triangle.