Maths-

General

Easy

### Question

#### Assertion (A):If and , then

Reason (R): For positive numbers

- Both A and R are true and R is the correct explanation of A
- Both A and R are true and R is not the correct explanation of A
- A is true but R is false
- A is false but R is true

#### The correct answer is: Both A and R are true and R is the correct explanation of A

multiply (1) and (2)

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### Related Questions to study

maths-

#### The length of the chord joining the points $\left(4\mathrm{cos}\theta ,4\mathrm{sin}\theta \right)$ and $(4\mathrm{cos}\left(\theta +60\xb0\right),4\mathrm{sin}(\theta +60\xb0)$of the circle ${x}^{2}+{y}^{2}=16$ is

#### The length of the chord joining the points $\left(4\mathrm{cos}\theta ,4\mathrm{sin}\theta \right)$ and $(4\mathrm{cos}\left(\theta +60\xb0\right),4\mathrm{sin}(\theta +60\xb0)$of the circle ${x}^{2}+{y}^{2}=16$ is

maths-General

maths-

#### Observe the following statements and choose correct answer Statement-I:A particle p moves along a straight line, starting from a fixed point ‘O’, obeying s=16+48t-${t}^{3}.$the direction of p when t=5 is along $\overline{OP}$ Statement-II: For a particle moving on a line, if velocity v<0 then the body moves towards the initial point.

Statement -I:

#### Observe the following statements and choose correct answer Statement-I:A particle p moves along a straight line, starting from a fixed point ‘O’, obeying s=16+48t-${t}^{3}.$the direction of p when t=5 is along $\overline{OP}$ Statement-II: For a particle moving on a line, if velocity v<0 then the body moves towards the initial point.

maths-General

Statement -I:

maths-

#### Statement ‐ I : The equation $z\overline{z}+\overline{a}z+a\overline{z}+\lambda =0$ where a is a complex number, represents a circle in Argand plane if $\lambda $ is real. Statement ‐II : The radius of the circle $z\overline{z}+\overline{a}z+a\overline{z}+\lambda =0$ is $\sqrt{\lambda -a\overline{a}}$

Result

#### Statement ‐ I : The equation $z\overline{z}+\overline{a}z+a\overline{z}+\lambda =0$ where a is a complex number, represents a circle in Argand plane if $\lambda $ is real. Statement ‐II : The radius of the circle $z\overline{z}+\overline{a}z+a\overline{z}+\lambda =0$ is $\sqrt{\lambda -a\overline{a}}$

maths-General

Result

GeneralVideo

#### Divide the following fractions:

Here, we have to divide the given fractions.

Now, 2/11 ÷ 9/22

= 2/11 × 22/9

= 2/1 × 2/9

= 2 × 2 / 1 × 9

= 4/9

Hence, the correct option is (a).

Now, 2/11 ÷ 9/22

= 2/11 × 22/9

= 2/1 × 2/9

= 2 × 2 / 1 × 9

= 4/9

Hence, the correct option is (a).

#### Divide the following fractions:

GeneralGeneral

Here, we have to divide the given fractions.

Now, 2/11 ÷ 9/22

= 2/11 × 22/9

= 2/1 × 2/9

= 2 × 2 / 1 × 9

= 4/9

Hence, the correct option is (a).

Now, 2/11 ÷ 9/22

= 2/11 × 22/9

= 2/1 × 2/9

= 2 × 2 / 1 × 9

= 4/9

Hence, the correct option is (a).

biology

#### The third cleavage in frog's development is

#### The third cleavage in frog's development is

biologyGeneral

biology

#### The reason why the right kidney is slightly lower than the left is:

Excretion involves the processes in which substances of no further use or those present in excess qualities are thrown out of the body.

#### The reason why the right kidney is slightly lower than the left is:

biologyGeneral

Excretion involves the processes in which substances of no further use or those present in excess qualities are thrown out of the body.

biology

#### This happens if the proximal convoluted tubule is removed from nephron:

#### This happens if the proximal convoluted tubule is removed from nephron:

biologyGeneral

Biology

#### Which is the highest structural organization found in all enzymes?

#### Which is the highest structural organization found in all enzymes?

BiologyGeneral

Biology

#### The 20 different common amino acids have different-

#### The 20 different common amino acids have different-

BiologyGeneral

Maths-

#### A box contains 100 tickets numbered 1, 2 ...... 100. Two tickets are chosen at random. It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number on them is 5 with probability

Let be the event that the maximum number on the two chosen tickets is not more than 10 i.e., the number on them and be the event that the maximum number on them is 5, i.e., the number on them is we have to find .

Now

Now the number of ways of getting a number on the two tickets is the coefficient of in the expansion of

Thus coefficient of of of of is 9.

Hence

and

Hence required probability

Now

Now the number of ways of getting a number on the two tickets is the coefficient of in the expansion of

Thus coefficient of of of of is 9.

Hence

and

Hence required probability

#### A box contains 100 tickets numbered 1, 2 ...... 100. Two tickets are chosen at random. It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number on them is 5 with probability

Maths-General

Let be the event that the maximum number on the two chosen tickets is not more than 10 i.e., the number on them and be the event that the maximum number on them is 5, i.e., the number on them is we have to find .

Now

Now the number of ways of getting a number on the two tickets is the coefficient of in the expansion of

Thus coefficient of of of of is 9.

Hence

and

Hence required probability

Now

Now the number of ways of getting a number on the two tickets is the coefficient of in the expansion of

Thus coefficient of of of of is 9.

Hence

and

Hence required probability

Biology

#### All are proteins except –

#### All are proteins except –

BiologyGeneral

Biology

#### Protein am ion acids are called.

#### Protein am ion acids are called.

BiologyGeneral

physics-

#### To double the volume of a given mass of an ideal gas at keeping the pressure constant, one must raise the temperature in degree centigrade to

#### To double the volume of a given mass of an ideal gas at keeping the pressure constant, one must raise the temperature in degree centigrade to

physics-General

maths-

#### The function is period with period

Period of

Period of

Period of

Period of L.C.M. of (4, 6, 4) = 12

Period of

Period of

Period of L.C.M. of (4, 6, 4) = 12

#### The function is period with period

maths-General

Period of

Period of

Period of

Period of L.C.M. of (4, 6, 4) = 12

Period of

Period of

Period of L.C.M. of (4, 6, 4) = 12

maths-

#### The value of k, for which is an identity, is

Given,

Þ

Þ Þ Þ

Þ

Þ Þ Þ

#### The value of k, for which is an identity, is

maths-General

Given,

Þ

Þ Þ Þ

Þ

Þ Þ Þ