English Medium Class 9 - CBSE Question Bank Solutions

Medians of ΔABC intersect at G. If ar (ΔABC) = 27 cm², then ar (ΔBGC) =

In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm², then ar (ΔBEC) =

In the given figure, ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm, then AD =

In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||^gm XQRY) : ar (ΔQSR) =

Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is

ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm² and AB = 8 cm, then height of ΔABC is

The diagonals  AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC =

ABCD is a trapezium with parallel sides AB =a and DC = b. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFEand EFCD is

ABCD is a rectangle with O as any point in its interior. If ar (ΔAOD) = 3 cm² and ar (ΔABOC) = 6 cm², then area of rectangle ABCD is

The mid-points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to ______.

In the given figure, ABCD and FECG are parallelograms equal in area. If ar (ΔAQE) = 12 cm², then ar (||^gm FGBQ) = 

Which one of the following is a polynomial?

Degree of the zero polynomial is ______.

The value of 249² – 248² is ______.

The coefficient of x in the expansion of (x + 3)³ is ______.

If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x³ – y³ is ______.

If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.

If a + b + c = 0, then a³ + b³ + c³ is equal to ______.

Which of the following expression are polynomial? Justify your answer:

8

Which of the following expression are polynomial? Justify your answer:

`sqrt(3)x^2 - 2x`