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General formula :- x²+(a+b) x+(ab) According to question, a+b = 1/4 -----(eq 1) ab =-1 ------ (eq 2) Putting eq 1 and 2 in general formula, x²+1/4x+(-1)=0 x²+1/4x-1=0 4x²+1x-4= 0 Hence, 4x²+1x-4 is required quadratic equation.

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The internal and external radii of a spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid cylinder of diameter 14 cm, find the height of the cylinder. Also find the total surface area of the cylinder.

Posted by Merlyn Evg 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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Muskan Sharma 3 years, 6 months ago

Let the intenal and external base radi of spherical shell be r and R respectively. r=3cm, and R=5cm. Base radius of a solid cylinder, r'=7cm. the volume of solid cylinder = volume of a spherical shell πr'²h = 4/3×π (R³-r³) 49h = 4/3 (125-27) h = 4/3 × 98/49 h = 8/3 cm

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if the following figure, two circles touch each other externally at C. Prove that the common tengent at C bisects the other two common tengents

Posted by Vipul Mahat 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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(4,7)and(10,-1)

Posted by Koshal Rohilla 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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All the best guys for Maths board exam don't get tension write happily

Posted by Vamsi Koyya 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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A tour bus in Jaipur serves 400 customers a day. The charge is Rs 50 per person. The owner of the bus service estimates that the company would lose 10 passengers a day for each Rs 5 fare increase. (i) How much should the fare be in order to maximize the income for the company? (ii) What is the maximum income the company can expect to make

Posted by Sivaangayarkanni.S Sathyan 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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Exercise 4.3 questions number 1

Posted by Alina Upadhey 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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Exercise 3.2 question no 4

Posted by Ashish Chettri 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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Rohan has a solid wax cylinder of diameter 21 cm and height 21 cm from it he curved out a conical cavity of maximum volume from the remaining wax he formed a sphere find the diameter

Posted by Anupama Ann 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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Vaishnavi Tyagi 3 years, 6 months ago

Radius of largest cone=21/2cm Hieght " " "=21cm Vol. left = vol of cylinder-vol of conical depression = pie r²h-1/3pie r²h =pie r²h(1-1/3) =pie r²h2/3 Volume left =Volume of sphere Pie r²h2/3=4/3pie r³ 21*21*21/2*2*2=r³ Radius =21/2cm Diameter =21cm

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prove that 2 upon under root 7 is irrational number

Posted by Priya Yadav 3 years, 6 months ago

CBSE > Class 10 > Mathematics

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Ansh Pandey 3 years, 6 months ago

First assume 2/root7 is rational So,2/root 7=a/b ( a and are coprime number Square both side, we get, 4/7=a²/b² 4b²/7=a² So 4/7 is factor of a² So 4/7 is also factor of a (by theorem) Now let a=4/7c ( for any integer c) so we get, (4/7c)²=4b²/7 16/49c²=4b²/7 b²=4/7c² So 4/7 is factor of b² So 4/7 is also factor of b So a and b are not coprime So our assumption is wrong So 2/root7 is irrational number (This is proved by contradiction method)

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In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Number of mangoes50−5253−5556−5859−6162−64Number of boxes1511013511525 Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Posted by Vishnu Shanker Mishra 3 years, 6 months ago

CBSE > Class 10 > Mathematics