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Question 180(ii)

Simplify

${[{\left(\frac{4}{3}\right)}^{-2}-{\left(\frac{3}{4}\right)}^2]}^{-2}$

If (x+y)^3-(x-y)^3-6y(x^2-y^2)=ky^2, find k

The set A = {0} is a ___ .

The number of cartoons drawn by a cartoonist is given by the equation, y = 10x + 5, where x is the number of days, y is the total number of cartoons. Which of the following graph shows the correct data for this situation?

Use ruler and compass only for this question
(i) Construct $\Delta ABC$, where AB = 3.5 cm, BC = 6 cm and $\angle ABC={60}^{\circ }$
(ii) Construct the locus of points inside the triangle which are equidistant from BA and BC.
(iii) Construct the locus of points inside the triangle which are equidistant from B and C.
(iv) Mark the point P which is equidistant from AB, BC and also equidistant from B and C.

Then the length of PB is

Divide 54 into two parts such that the five times the smaller part is equal to four times the bigger part. Find both parts.

In a zero order reaction for every ${10}^{\circ }C$ rice of temperature, the rate is doubled. If the temperature is increased from ${10}^{\circ }C$ to ${100}^{\circ }C$, the rate of the reaction will become:

Make x the subject of the formula $y=\frac{3x+4}{x-3}$.

A figure has an area of $196c{m}^2$
S1 : The figure can be a square of side 14 cm.
S2 : The figure can be a rectangle if and only if the dimensions are $49cm\times 4cm$.

Using factor theorem, show that g(x) is a factor of p(x), when
$p\left(x\right)=2x^4+x^3-8x^2-x+6,g\left(x\right)=2x-3$

In the given figure, ABC is a triangle, AB and AC are tangents, $\angle BAC={90}^{\circ },$ radius of the two circles are $8cmand10cm.$ The area of the $\Delta ABC$

ABC is an equilateral triangle of side length 10 cm. The minimum distance of vertex A from its opposite side is.

Rupa goes for a walk every morning in the park close to her apartment. The park is in the shape of a rectangle of length 40 m and width 30 m, as shown in the figure below. She walks around the park 5 times daily. Due to some construction work she cannot go along her normal path tomorrow, she will have to take the route from one corner of the park (A) to the diagonally opposite corner (C).

How many times will she have to walk on the new path (A-C) tomorrow, to cover the same distance as she used to cover each day earlier?

The seventh root of x divided by the eighth root of x is

An irrational number between 2 and 2.5 is

Burst the bubble if the rational number is terminating.

Write the value of ${48}^3-{30}^3-{18}^3.$

In a throw of a die, the probability of getting an odd prime number is

From the options, choose the irrational numbers that lie between 4 and 9.

Which of the following graphs will always pass through origin?

Mark on a number line the positions of the numbers satisfying each of the conditions below:

(i) 1 < x < 3

(ii) −3 < x < −1

(iii) −3 < x < 1

(iv) −1 < x < 3

A non-terminating and non-recurring decimal number is known as a/an _________.

If a circle is divided into sections of 75, 95, and 65 degrees, how many degrees remain?

A triangular wall having sides 3 m, 5 m and 6 m has to be painted. If the cost of painting $1m^2$ of a wall is ₹5, what is the cost of painting the whole wall?

In ΔXYZ, XY = XZ, and the bisectors of angles Y and Z intersect at point M, then

An ant struggling for food finds it at the north-east corner of the Cartesian plane. It moves 3 units east from the origin and then 3 units north. Find the location of food.

If $A=\left[\begin{array}{ccc}a& 0& 0\\ 0& a& 0\\ 0& 0& a\end{array}\right]$, then the value of

$|A||adjA|$ is

For a number to be a rational number, in the p/q form, the denominator must be

If $x=\sqrt{3}+\sqrt{2}$, then the value of $x^3-\frac{1}{x^3}$ is equal to

So, we get the required scale factor.

There were two sacks containing numbers, sack A contained the set of positive integers while sack B contained the set of whole numbers. Which sack contains more numbers?