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Form the quadratic polynomial whose zeroes are 2+ 1/√2 and 2-1/√2 .

Posted by Rishi Kothari 2 years, 4 months ago

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If α and β are zeroes of the polynomial p(x) = 2x²+5x+k satisfying the relation; α² + β² +αβ = 21/4 then find the value of k .

Posted by Rishi Kothari 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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If α and β are zeroes of the polynomial 2x²-5x+7 , then find the value of 1/α + 1/β.

Posted by Rishi Kothari 2 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Aman Mandal 2 years, 4 months ago

Value = -5/7

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Prove √2 irrational

Posted by Shruti Lakra 2 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Swaran Singh 2 years, 4 months ago

Let assume that √2 is an rational number and √2/1 = a/b , where a and b are integers and co-prime , b ≠0 . b√2 = a By squaring both sides, we get 2b²= a² _ (1) Here, a² is divisible by 2 and a also divisible by 2. Now , let a=2c , where c is an integer . By squaring both sides, we get a²= 4 c² By Substituting it in eq ( 1) 2b²= 4c² b² = 2c² Here , b² is divisible by 2 , also b is divisible by 2. Therefore, 2 is a common factor of a and b . This contradicts the fact that a and b are not co - prime. Therefore , our assumption is wrong.

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Sin A /1+cosA +1+cosA/sinA =2 cosec A

Posted by Khushi Kumari 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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Sandeep, a newly appointed IAS officer, wants to give a thank-giving party to all her mentors, teachers and guides who motivated and taught him to achieve this aim. He decided to give gifts to all of them. He has 36 diaries, 60 golden pens. He does not want to discriminate among his teachers, mentors and guide. So he decided to distribute them equally among all of them.

Posted by Dhakshu Dhakshinya 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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seven times a 2 digit number is equal to 4 times the number obtained by reversing the order of the digits If the sum of both the digits is 9 find the number

Posted by Vaishnavi Sonkusare 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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Find the largest no which divides 615 and 963 leaving remainder of 5 and 7. Respectively.

Posted by Pahal Agrawal 2 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Khwahis Parveen 2 years, 4 months ago

Firstly, 615-5= 610 963-7= 956 find the HCF of 610 and 956 then you get the answer

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sin 25°Cos 65°+cos 25°sin 65°

Posted by Kishan Das 2 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Mridupawan Patiri 2 years, 4 months ago

sin(90°-65°) cos 65°+cos(90°-65°) sin65° cos65°cos65°+sin65°sin65° (sin(90°-a) =cosa) (cos(90-a) =sina)

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Find the roots of the following quadratic equations, if they exist, by the mathod of completing the square: 2x2+x+ 4=0

Posted by Dharani Dharan 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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Prove that 16+17√3 is an irrational number

Posted by Jyoti Yadav 2 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Khwahis Parveen 2 years, 4 months ago

Let 16+17√3 be rational and let it's simplest form be p/q where p and q are integers and q≠0. Then, 16+17√3=p/q 17√3=p/q – 16 √3=p/q–16/17 …(i) Now, p/q is rational →(p/q–16/17) is rational [… difference of rational is rational] √3 is rational … from (i) The contradiction arises by assuming that √3 is rational. Hence, 16+17√3 is irrational.

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Determine by drawing graph whether the following pair of linear equations has a unique solution or not 3x+4y=12;y=2

Posted by Pranay Adaveni 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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If alfa and bita are the zeroes of the quadratic polynomial X power 2 - 5x + 4 find a quadratic polynomial having zeroes alfa +1/bita and bita + 1/ alfa

Posted by Krati Jain 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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Prove that the following are irrational numbers a. √2+√5 b. 5-3√2 c. √13

Posted by Shashank Sain 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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Prove that the following are irrational. (1)1/

Posted by Swati Kumari 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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Solve for elmination a1x +b1y+ c1=0 and a2x+b2y+c2=0

Posted by Aadya Gahlot 2 years, 4 months ago

CBSE > Class 10 > Mathematics

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If in any decreasing AP sum of all terms except first is -36 and sum of all terms except last is 0 ,difference of tenth and sixth term is -16 then first term is

Posted by Preeti Aggarwal 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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X+y =14

Posted by Eklavya Sony 2 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

Ajay Kumar Sahu 2 years, 5 months ago

Let Y=0,0+X=14 x=14

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Janeesh Kumar 2 years, 5 months ago

X+y=14 Let x=0 0+y=14 Y=0-14 Y=-14

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Revati Shegaonkar 2 years, 5 months ago

RRR

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Prove that 1 √6 +5 an irrational number.

Posted by Aachal Kumari 2 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Anmol Kaur 2 years, 5 months ago

Let the 1√6+5 is rational number . 1√6+5=p/q 1√6=p/q-3 1√6=p/q-3q √1=p-3q/2q L.H.S = irrational number R.H.S = rational number L.H.S =|= R.H.s Our supposition is wrong . 1√6+5 is not rational number . 1√6+5 is an irrational number .

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The altitude of a right triangle is 7cm less than it base. If the hypotenuse is 13cm, find the other two side.

Posted by Utkarsh Shukla 2 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Anjali Kumari 2 years, 5 months ago

1200

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Ram Yadav 2 years, 5 months ago

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24÷2×100

Posted by Yugendra X 2 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

Khwahis Parveen 2 years, 4 months ago

24÷2×100 →12×100 →1200(answer)

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Ladli Kasaudhan 2 years, 5 months ago

1200

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Anjali Kumari 2 years, 5 months ago

1200

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A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction

Posted by Ayaan Reza 2 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Jaat Jaat 2 years, 4 months ago

The first equation: x-1/y =1/3 Do the cross multiplication It become: 3x-3= y 3x-y=3 (first equation) The second equation: x/y+8=1/4 Do the cross multiplication It become: 4x=y+8 4x-y=8 (second equation) Then solve it with elimination or substitution method.

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Solve: 1/2x+1/3y=2, 1/3x+1/2y=13/6

Posted by Ayaan Reza 2 years, 5 months ago

CBSE > Class 10 > Mathematics