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Ask QuestionPosted by Dubey Prakash 6 years, 10 months ago
- 4 answers
Posted by Anubhav Tiwari 6 years, 10 months ago
- 0 answers
Posted by Dubey Prakash 6 years, 10 months ago
- 3 answers
Posted by Aryan Rana 6 years, 10 months ago
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Posted by Abhay Kumar Singh 6 years, 7 months ago
- 1 answers
Sia ? 6 years, 7 months ago
A(1, -2), B(2, 3), C(k, 2) and D(-4, -3)are the vertices of a parallelogram.
{tex}\Rightarrow{/tex}AB = CD and AD = BC
Consider AD = BC
{tex}\Rightarrow{/tex}AD2 = BC2
{tex}\Rightarrow{/tex}(-4 -1)2 + (-3 + 2)2 = (k - 2)2 + (2 - 3)2
{tex}\Rightarrow{/tex}(-5)2 = (k - 2)2
{tex}\Rightarrow{/tex} k - 2 = -5
{tex}\Rightarrow{/tex} k = -3
Posted by Sunita Yadav 6 years, 10 months ago
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Posted by Aryan Rana 6 years, 10 months ago
- 1 answers
Lustig Yashu? 6 years, 10 months ago
Posted by Avinash Saigal 6 years, 10 months ago
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Posted by Navya Sree 6 years, 10 months ago
- 2 answers
Posted by Surendrapal Singh Singh Gaur 6 years, 10 months ago
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Posted by Vishnu Choudhary 6 years, 10 months ago
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Posted by Ishant Kumar 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
Let the speed of stream be x km/h
Speed of boat in still stream = 9 km/h
Speed of boat down the stream = 9 + x km/h
Speed of boat upstream = 9 - x
{tex}\therefore{/tex} Time taken by boat to go to downstream 15 km = {tex}\frac { 15 } { 9 + x }{/tex} hours.
{tex}\therefore{/tex} Time taken by boat to go 15 km of stream = {tex}\frac { 15 } { 9 - x }{/tex} hours.
Total time {tex}= \frac { 15 } { 9 + x } + \frac { 15 } { 9 - x } = 3 \frac { 45 } { 60 } = 3 \frac { 3 } { 4 } = \frac { 15 } { 4 }{/tex}
Dividing by 15
{tex}\frac { 1 } { 9 + x } + \frac { 1 } { 9 - x } = \frac { 1 } { 4 } \text { or } \frac { 9 + x + 9 - x } { ( 9 + x ) ( 9 - x ) } = \frac { 1 } { 4 }{/tex}
{tex}\Rightarrow \frac { 18 } { 81 - x ^ { 2 } } = \frac { 1 } { 4 }{/tex} or 81 - x2 = 72
{tex}\therefore{/tex} x2 = 81 - 72 = 9 {tex}\therefore{/tex} x = +3 and x = -3
But x {tex}\neq{/tex} -3
{tex}\therefore{/tex} Speed of stream = 3 km/h
Posted by Manish Gupta 6 years, 10 months ago
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Posted by Safeeq Ahamed 6 years, 10 months ago
- 1 answers
Posted by Manish Gupta 6 years, 10 months ago
- 3 answers
Manish Gupta 6 years, 10 months ago
Posted by Itika Singhal 6 years, 10 months ago
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Posted by Aryan Rana 6 years, 4 months ago
- 1 answers
Sia ? 6 years, 4 months ago
According to question we are given that Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A card is drawn from the box at random. Therefore All possible outcomes are 5, 6, 7, 8 …………… 50.
Number of all possible outcomes = 46
- Out of the given numbers, the prime numbers less than 10 are 5 and 7.
Suppose E1 be the event of getting a prime number less than 10.
Then, number of favorable outcomes = 2
Therefore, P(getting a prime number less than 10) = P(E) = {tex}\frac{ 2}{46}=\frac{1}{23}{/tex} - Out of the given numbers, the perfect squares are 9, 16, 25, 36 and 49.
Suppose E2 be the event of getting a perfect square.
Then, number of favorable outcomes = 5
Therefore, P(getting a perfect square) = P(E) = {tex}\frac{5}{46}{/tex}
Posted by Lovejeet Soni 6 years, 10 months ago
- 3 answers
Posted by ?Aryan ? 6 years, 10 months ago
- 2 answers
Avinash Saigal 6 years, 10 months ago
Posted by Aryan Rana 6 years, 4 months ago
- 1 answers
Sia ? 6 years, 4 months ago
We have, 612 and 1314
{tex} \therefore \quad 612 = ( 2 \times 2 \times 3 \times 3 \times 17 ) = \left( 2 ^ { 2 } \times 3 ^ { 2 } \times 17 \right){/tex}
and {tex}1314 = ( 2 \times 3 \times 3 \times 73 ) = \left( 2 \times 3 ^ { 2 } \times 73 \right){/tex}.
{tex}\therefore{/tex} HCF (612,1314) = product of common terms with lowest power
{tex}= \left( 2 \times 3 ^ { 2 } \right) = ( 2 \times 9 ) {/tex}
HCF (612,1314) = 18
and LCM (612, 1314) = product of prime factors with highest power
{tex}= \left( 2 ^ { 2 } \times 3 ^ { 2 } \times 17 \times 73 \right) = ( 4 \times 9 \times 17 \times 73 ){/tex}
LCM (612, 1314) = 44676.
Hence, HCF(612, 1314) = 18
and LCM(612, 1314) = 44676.
Posted by ?Aryan ? 6 years, 10 months ago
- 5 answers
Posted by Aryan Rana 6 years, 10 months ago
- 1 answers
Yogita Ingle 6 years, 10 months ago
a = 15 d = -3 an = 0
an = a+ (n - 1)d
15+(n -1)(-3) = 0
15 - 3n + 3 = 0
- 3n + 18 = 0
-3n = -18
n = 18/3 = 6
Posted by Harsha Chavan 6 years, 10 months ago
- 0 answers
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Parth Sabhaya 4 years, 9 months ago
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