Explore topic-wise InterviewSolutions in .

Find the zero of the polynomial in each of the following cases:
(i) $p\left(x\right)=x+5$
(ii) $p\left(x\right)=x-5$
(iii) $p\left(x\right)=2x+5$
(iv) $p\left(x\right)=3x-2$
(v) $p\left(x\right)=3x$
(vi) $p\left(x\right)=ax,a\ne 0$
(vii) $p\left(x\right)=cx+d,c\ne 0$ and $c,d$ are real numbers.

If $lo{g}_{k}A.lo{g}_{5}k=3$, then A=

A regular hexagon has a side 6 cm. Its area is:

$\text{In the given figure, ABCD is a square and P is a point inside it such that PB = PD. Prove tht CPA is a straight line.}$

Refere the figure below and answer the questions that follow. In the figure, line l is parallel to line m.

What is the value of angle 1?

If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that is diagonals are equal.

Let $x$ be a rational number whose simplest form is expressed as $\frac{p}{q}$, where $p$ and $q$ are co-prime integers and $q\ne 0$ and also, $x$ is a terminating decimal, then $q$ can be expressed in the form of _____________ (where m and n are non-negative integers).

A shopkeeper bought some mangoes at a rate of 9 per Rs.5 and then sold them at a rate of dozen per Rs. 8. Find his percentage of profit and loss.

Consturuct an equilateral triangle , each of whose sides measures 5 cm.

When constructing a line parallel to a given line, you will be:

A round table cover has six equal designs as shown in figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per $c{m}^2$ . (Use $\sqrt{3}=1.7$) [3 MARKS]

Following table shows the birh month of 40 students of class IX.

$\begin{array}{cccccccccccc}& & & & & & & & & & & \\ Jan.& Feb.& March& April& May& June& July& Aug.& Sept.& Oct.& Nov.& Dec.\\ 3& 4& 2& 2& 5& 1& 2& 6& 3& 4& 4& 4\end{array}$

Find the probability that a student was born in August.

A differential equation representing the family of parabolas with axis parallel to $y-$axis and whose length of latus rectum is the distance of the point $(2,-3)$ from the line $3x+4y=5,$ is given by

In the figure, if O is circumcentre of $\Delta ABC$ then find the value of $\angle OBC+\angle BAC$.

Enter the smallest whole number?

1. 0

The area of a sector (in $c{m}^2$ )of a circle with radius 6 cm if angle of the sector is ${70}^{\circ }$ will be __ $c{m}^2$. ( Take $\pi$ = $\frac{22}{7}$)

Factorise the following using appropriate identities:

(i) 9x² + 6xy + y²

(ii)

(iii)

Express each of the following decimals in the form $\frac{p}{q}$ :

(i) 0.$\overline{4}$ (ii) $0.\overline{37}$

(iii) $0.\overline{54}$ (iv) $0.\overline{621}$

(v) $125.\overline{3}$ (vi) $4.\overline{7}$

(vii) $0.4\overline{7}$

Sir/ma'am

How will this equation be simplified. 4√3×4√3.

Question 81

The following pictorial representation of data is a histogram.

The diagonals of a quadrilateral ABCD are perpendicular to each other. Prove that the quadrilateral formed by joining the midpoints of its sides is a rectangle.

The number of line(s) passing through a point (3,4) is (are):

Question 115

Solve the following question:

If one side of a cube is 15 m in length, then find its volume.

If AB is a chord which passes through the centre O, then AB is known as :

Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment

$A:$ 'the sum is even'

$B:$ 'the sum is multiple of $3$'

$C:$ 'the sum is less than $4$'

$D:$ 'the sum is greater than $11$'

Which pair of these events are mutually exclusive?

Convert Tree diagrams into Algebraic expressions.

Question 87(iv)

Classify the following statements under appropriate headings.

Getting 7 when a die is thrown?

$\begin{array}{ccc}\text{Certain to happen}& \text{Impossible to happen}& \text{May or may not happen}\\ & & \\ & & \end{array}$