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If $f\left(x\right)=x^2+2bx+2c^2$ and $g\left(x\right)=-x^2-2cx+b^2$ such that in $f\left(x\right)>maxg\left(x\right)$, then the relation between $b$ and $c$, is

From the figure, Find (x).

Look at the figure alongside and name the following :
(1) Collinear points
(2) Rays
(3) Line segments
(4) Lines

An 'n'-sided regular polygon has ____ lines of symmetry.

What is the area of a right angled triangle if its sides are 6cm, 8cm and 10cm?

A rectangular tank is 80 m long and 25 m broad. Water-flows into it through a pipe whose cross-section is $25c{m}^2,$ at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.

Oliver swam $\frac{13}{33}$ of a lap in the swimming pool in a contest. Nora swam $\frac{17}{33}$ of a lap in the contest. How much further part of a lap did Nora swim than Oliver?

The volume of the aluminium used to make a hemisphere of inner radius 7 cm and thickness 1 cm is

[$use\pi =\frac{22}{7}$]

Rafiq starts his job with a salary of rs 80,000 per year. he earns an increment of rs 5,000 every year. if his yearly salary after x years is rs y , then show the equation that correctly relates x and y.

In the given figure, AB||CD. If $\angle APQ={70}^{\circ }$ and $\angle PRD={120}^{\circ }$ then $\angle QPR=?$

$\left(a\right){50}^{\circ }$

$\left(b\right){60}^{\circ }$

$\left(c\right){40}^{\circ }$

$\left(d\right){35}^{\circ }$

Represent the following in number line

(a) square root of 3.5

(b) square root of 10.5

Find the value of $3^6\times 3^2$.

In figure,lines AB and CD intersect each other at point O.If a:b = 4:5, find a,b,c and d.

XYZ Pvt. Ltd. sold chairs made of three different materials, i.e., wood, plastic, and steel. The table given below shows the number of chairs sold by the company starting from January till May. It also provides the percentage of wooden chairs sold out of the total number of chairs sold by the company and the average number of plastic and steel chairs sold by them.

What is the median value of wooden chairs sold across the five months?

PQRS is a parallelogram with PS = 4 cm and AR $\parallel$ PB. If Area of triangle APS = 48 $c{m}^2$, find the height of triangle QRB. [2 MARKS]

In the given figure, E is any point on median AD of a ΔABC. Show that

ar (ABE) = ar (ACE)

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?

The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find

(i) Its inner curved surface area,

(ii) The cost of plastering this curved surface at the rate of Rs 40 per m².

The ordinate of any point on x-axis is

Find the median of
(i) 17, 19, 32, 10, 22, 21, 9, 35
(ii) 72, 63, 29, 51, 35, 60, 55, 91, 85, 82
(iii) 10, 75, 3, 15, 9, 47, 12, 48, 4, 81, 17, 27

From the following Balance Sheet of Combiplast Ltd. for the year ended 31st March, 2019 and additional information, calculate Cash Flow from Investing Activities:

Notes to Accounts

Additional Information: During the year the company sold machinery at Book Value of ₹ 1,50,000.

For any three sets $X,Y\&Z,X\cap (Y\cap Z)$ is equal to

Identify the remainder when $1+x+x^2+x^3+....+x^{2012}$ is divided by $x$ - 1

In given figure if AC = BC, $\angle$DCA = $\angle$ECB and $\angle$DBC = $\angle$EAC, then DC = __.

If $x^3+a{x}^2+bx+6$ has $x-2$ as a factor and leaves a remainder 3 when divided by $x-3$. Find the values of a and b.