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Ask QuestionPosted by Pratyush Patro 6 years, 9 months ago
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Posted by Vivek Sharma 6 years, 9 months ago
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Itika Singhal 6 years, 9 months ago
Posted by Jassi Jhunjhunuwala 6 years, 9 months ago
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Posted by Khushi Purohit 6 years, 9 months ago
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Posted by Rahul Hans 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
26 and 91
26= 2 × 13
91 = 7 × 13
HCF = 13
LCM = 2 × 7 × 13 = 182
Product of two numbers 26 and 91 = 26 × 91 = 2366
HCF × LCM = 13 × 182 = 2366
Hence, product of two numbers = HCF × LCM
Posted by Vinod Kumar 6 years, 9 months ago
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Posted by Gurjit Singh 6 years, 9 months ago
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Posted by Vinod Kumar 6 years, 9 months ago
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Posted by Vinod Kumar 6 years, 9 months ago
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Posted by Deepak Kumar 6 years, 9 months ago
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Posted by Uday Singh Lodhi 6 years, 9 months ago
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Posted by Sarita Sharma 6 years, 9 months ago
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Yogita Ingle 6 years, 9 months ago
A number is called irrational if it cannot be expressed in the form p/q where p and q are integers ( q> 0).
Example : √3,√2,√5,p etc.
They have non-terminating and non-repeating decimal expression
The sum, difference, multiplication and division of irrational numbers are not always irrational. Irrational numbers do not satisfy the closure property under addition, subtraction, multiplication and division
Irfan Khan 6 years, 9 months ago
Posted by Priyanshu Raj 6 years, 9 months ago
- 1 answers
Gaurav Seth 6 years, 9 months ago
The perimeter of a right-angled triangle = 40 cm
Substituting the value of a =15, in equation (i) we get:
Posted by Ananya Evita 6 years, 9 months ago
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Posted by Sukhsharan Singh Sukhsharan Singh 6 years, 9 months ago
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Posted by Priyanshu Raj 6 years, 9 months ago
- 3 answers
Yogita Ingle 6 years, 9 months ago
Semiperimeter (s) = (42 + 34 + 20 ) / 2
So it is = 96 / 2 = 48 cm.
Using herons formula = (√s )(√s-a )(√s-b) (√s-c)
By substituting s and a , b , c i.e the given sides.
We have √48 × √6 × √14 × √28
So √ (4 × 6 × 2) × √6 × √(7 × 2) × √(7 × 4)
Simplifying the numbers we have area = 4 × 6 × 2 × 7 = 336 cm ²
Hence area is 336 cm²
Now height corresponding to longest side implies that base is 42 cm and area remains same
So area of triangle is 1/ 2 b × h
336 = 1/ 2 × 42 × H
HENCE H = 16 cm
So height is 16 cm .
Posted by Shruti Lumb 6 years, 9 months ago
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Posted by Ashu Rawat 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
5x2 - 6x - 2 = 0
Multiplying the above equation by 1/5
{tex} \Rightarrow {x^2} - \frac{6}{5}x - \frac{2}{5} = 0{/tex}
{tex}\Rightarrow x ^ { 2 } - \frac { 6 } { 5 } x + \left( \frac { 3 } { 5 } \right) ^ { 2 } - \left( \frac { 3 } { 5 } \right) ^ { 2 } - \frac { 2 } { 5 } = 0{/tex}
{tex}\Rightarrow \left( x - \frac { 3 } { 5 } \right) ^ { 2 } = \frac { 9 } { 25 } + \frac { 2 } { 5 }{/tex}
{tex}\Rightarrow \left( x - \frac { 3 } { 5 } \right) ^ { 2 } = \frac { 9 + 10 } { 25 }{/tex}
{tex}\Rightarrow \left( x - \frac { 3 } { 5 } \right) ^ { 2 } = \frac { 19 } { 25 }{/tex}
{tex}\Rightarrow x - \frac { 3 } { 5 } = \pm \frac { \sqrt { 19 } } { 5 }{/tex}
{tex}\Rightarrow x = \frac { 3 } { 5 } \pm \frac { \sqrt { 19 } } { 5 }{/tex}
{tex}\Rightarrow x = \frac { 3 + \sqrt { 19 } } { 5 } \text { or } x = \frac { 3 - \sqrt { 19 } } { 5 }{/tex}
Posted by Ashwini Govind Karatagi 6 years, 9 months ago
- 1 answers
Yogita Ingle 6 years, 9 months ago
X² + 7/2x + 3/4 = 0
⇒x² + 7/2x = -3/4
⇒x² + 7/2x + (7/4)² = -3/4 + (7/4)²
⇒ x² + 2.(7/4).x + (7/4)² = -3/4 + 49/16
⇒(x + 7/4)² = (-12 + 49)/16
⇒(x + 7/4)² = 37/16
Taking square root both sides,
⇒x + 7/4 = ± √37/4
⇒ x = -7/4 ± √37/4
Hence, roots are (-7 + √37)/4 and (-7 - √37)/4
Now , some of roots = -coefficient of x/Coefficient of x²
= -(7/2)/1 = -7/2
and { (-7 + √37) + (-7 - √37)}/4 = -7/2
Also product of roots = constant/Coefficient of x² = 3/4
And {-7+√37}{-7-√37}/16 = {7² - √37²}/16 = 12/16 = 3/4
You can see both sum of roots and products are verified above explanation.
Posted by Bhawani Gujjar 6 years, 9 months ago
- 3 answers
Gaurav Seth 6 years, 9 months ago
let the no. be x and x+1
then we have x²+(x+1)²=365
2x²+2x-364=0
x²+x-182=0
x²+14x-13x-182=0
(x+14)(x-13)=0
That gives x=13 Avoiding negative value
Hence, one number is 13 and other one 14.
Yogita Ingle 6 years, 9 months ago
Let two consecutive positive integer be x and x + 1.
According to question
x2 + (x + 1)2 = 365
⇒ x2 + x2 + 2x + 1 = 365
⇒ 2x2 + 2x - 364 = 0
⇒ x2 + x - 182 = 0
Let us split middle term
x2 + 14x - 13x - 182 = 0
⇒ (x + 14) (x - 13) = 0
x = -14 or x = 13 [ - ve root being rejected ]
Hence required numbers are 13 and 14
Posted by Akanksha Pandey 5 years, 4 months ago
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Posted by Kavya Bishnoi 6 years, 9 months ago
- 2 answers
Yogita Ingle 6 years, 9 months ago
The line that joins two infinitely close points from a point on the circle is a Tangent. In other words, we can say that the lines that intersect the circles exactly in one single point are Tangents. Point of tangency is the point where the tangent touches the circle. At the point of tangency, a tangent is perpendicular to the radius.
Awesome Yash? 6 years, 9 months ago
Posted by Krishna Agrawal 6 years, 9 months ago
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Posted by Praveen Gupta 6 years, 9 months ago
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Posted by Garima Ray 6 years, 9 months ago
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Posted by Shri Ram Dangi 6 years, 9 months ago
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Yogita Ingle 6 years, 9 months ago
Two numbers are said to be co-prime if their H.C. F is 1.
a and b are co-prime numbers Þ HCF (a, b) = 1
Factors of a2 = 1, a and a2
Factor of b2 = 1, b and b2.
HCF (a2, b2) = 1
Therefore, the number a2, b2 are said to be co-prime numbers.
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Raunak Pandey?? 6 years, 9 months ago
3Thank You