Select the option that is related to the third word in the same way as the second word is related to the first word.
(The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Octagon : Eight :: Heptagon : ?

The graph of y = 4x – 5 passes through which point?

If $$(1 + x)^n = \sum_{r=0}^{n} C_r x^r,$$​ then $$\left(1 + \frac{C_1}{C_0}\right)\left(1 + \frac{C_2}{C_1}\right)\left(1 + \frac{C_3}{C_2}\right)\cdots\left(1 + \frac{C_n}{C_{n-1}}\right)$$ is equal to:

The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm and 16, cm is:

The ratio in which the line segment joining the points (5, -2) and  (0, 7) is divided by the point $$\left( \frac{5}{3}, 4 \right)$$​ is:

If  P  and Q are the points with coordinates  (-3, 4) and (2, 1) respectively, then the coordinates of the point  R on  PQ produced such that PR = 2QR  are:

One root of the quadratic equation x² + ax + 1 = 0 lies inside a unit circle with center at origin. Then the other root:

​Find the point on the x-axis which is equidistant from (2, –5) and (–2, 9):​

A (x, 5), B (3, – 4) and C (– 6, y) are the three vertices of a triangle ABC. If (3.5, 4.5) is the centroid of the triangle, find the point (x + 3, y – 4).

If (3, 2) are coordinates of the centroid of a triangle, whose vertices are (0, 4), (-2, 0) and (p, 2), then find the value of p.

Find the relation between x and y such that the point (x, y) is equidistant from (6, 2) and (4, 6).