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zloy xaker [14]

2 years ago

10

The radius is longer than a chord that doesn't pass through the centre.

1 answer:

BigorU [14]2 years ago

3 0

Step-by-step explanation:

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CBSE

Mathematics

Grade 10

Circles

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Related Questions

State true or false.

The longest of all chords of a circle is called a diameter.

a) True

b) False

Answer

VerifiedVerified

115.8k+ views

14.5k+ likes

Hint: Here we will find the longest chord of the circle i.e, the line segment whose length is maximum when joined from one point on the circumference of the circle to the other on the circumference.

Complete step-by-step answer:

We know that a chord is a line segment which joins two points on the circumference of a circle.

Also, the longest chord of the circle passes through its center.

Now since the diameter of the circle passes through its center

Hence diameter is the longest chord of the circle.

AB is the diameter of the circle with center as O shown in the figure.

Therefore the given statement “The longest of all chords of a circle is called a diameter.” is true.

So, the correct answer is “Option A”.

Additional Information: Circle is the locus of all points which are at equal distance from a fixed point called the center of the circle. The distance between the center and each of the points is called radius of the circle.

Also, on joining all the adjacent points together we get the circumference of the circle.

Now the distance between any two points on the opposite side of the circumference is called the chord of the circle and the chord passing through the center is called its diameter.

Hence diameter is equal to twice the distance between center and the point on circumference.

Therefore, diameter is twice the radius of the radius.

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

Note: Students should note that the diameter D of the circle is equal to twice its radius R.

D=2R

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Verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3. Also verify the relationship between the ze

Finger [1]

Solution:

we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial $4x^3+20x^2+2x-3$

To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.

Let $f(x)=4x^3+20x^2+2x-3\\\\\text{when x=-5}\\\\f(-5)=4(-5)^3+20(-5)^2+2(-5)-3=-13\\\\\text{when x=}\frac{1}{2}\\$

$f( \frac{1}{2} ) = 4 ( \frac{1}{2} )^3+20(\frac{1}{2})^2+2(\frac{1}{2})-3=\frac{7}{2}\\\\$

$\text{when x=}\frac{3}{4}\\\\$

$f( \frac{3}{4} ) = 4 ( \frac{3}{4} )^3+20(\frac{3}{4})^2+2(\frac{3}{4})-3=\frac{183}{16}\\$

Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.

Since sum of roots $=\frac{-b}{a}= \frac{-20}{4}=-5\\$

But $-5+\frac{1}{2}+\frac{3}{4}= \frac{-15}{4}\neq-5$

Hence we do not find any relation between the coefficients and zeros.

Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.

6 0

3 years ago

Rasek [7]

Answer:

B. 1

Step-by-step explanation:

Multiply the first term by $x^a$ , the second term by $x^b$ , the third term by $x^c$ .

<u>The first term becomes:</u>

$x^a/(x^a+x^b+x^c)$

<u>The second term becomes:</u>

$x^b/(x^a+x^b+x^c)$

<u>The third term becomes:</u>

$x^c/(x^a+x^b+x^c)$

<u>Their sum is:</u>

$(x^a+x^b+x^c)/(x^a+x^b+x^c) = 1$

Correct choice is B

3 0

2 years ago

Suzy is starting a babysitting buisness. She spent $ 36 to make signs to advertise. She charges and intial fee of $ 6 and then $

timofeeve [1]

Answer:

3h - 30 > 0

h > 10

Step-by-step explanation:

To make a profit, subtract $36 in cost from the income coming in.

She charges $6 and then $3 per hour or 3h. Her income coming in is 6 + 3h.

Subtract 36 from it to find the profit.

3h + 6 - 36

3h - 30

To make a profit, she needs to make more than $0 or > 0.

3h - 30 > 0

Solve using inverse operations.

3h - 30 > 0

3h > 30

h > 10

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3 years ago

Each teacher can order 3 boxes of pencils for the school year. If 3 boxes together hold 82 pencils how many are in each box? If

SashulF [63]

There are 27 & 1/3 pencils in each box. Each student will get 3 pencils per year. There will be 16 pencils left over.

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3 years ago

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Your teacher buys a 5 pound bad of Smarties, for $12.50. What is the unit rate for Smarties.

Taya2010 [7]

So 5 pounds=12.5
divide 12.5 by 5 to get dollars per pound
$2.5 per pouind

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3 years ago

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