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| 23651. |
Main sample paper of 2018 |
| Answer» Check sample papers here :\xa0https://mycbseguide.com/cbse-sample-papers.html | |
| 23652. |
Sjaje |
| Answer» | |
| 23653. |
How is tangent perpediclar to radius |
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Answer» Through the point of contact prove that the shortest line drawn from a point to another line is perpedicular |
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| 23654. |
Rational number |
| Answer» A rational number is any number that can express as fraction p/qof two integers,a numenator p and non zero q denominator.q may be equal to 1.every integers is a rational number. | |
| 23655. |
How to prove , For any positive integer n , n³-n is divisible by 6. |
| Answer» n3\xa0- n = n (n2\xa0- 1) = n (n - 1) (n + 1)\xa0Whenever a number is divided by 3, the remainder obtained is either 0 or 1 or 2.∴ n = 3p or 3p + 1 or 3p + 2, where p is some integer.If n = 3p, then n is divisible by 3.If n = 3p + 1, then n – 1 = 3p + 1 –1 = 3p is divisible by 3.If n = 3p + 2, then n + 1 = 3p + 2 + 1 = 3p + 3 = 3(p + 1) is divisible by 3.So, we can say that one of the numbers among n, n – 1 and n + 1 is always divisible by 3.⇒ n (n – 1) (n + 1) is divisible by 3.\xa0Similarly, whenever a number is divided by 2, the remainder obtained is 0 or 1.∴ n = 2q or 2q + 1, where q is some integer.If n = 2q, then n is divisible by 2.If n = 2q + 1, then n – 1 = 2q + 1 – 1 = 2q is divisible by 2 and n + 1 = 2q + 1 + 1 = 2q + 2 = 2 (q + 1) is divisible by 2.So, we can say that one of the numbers among n, n – 1 and n + 1 is always divisible by 2.⇒ n (n – 1) (n + 1) is divisible by 2.Since, n (n – 1) (n + 1) is divisible by 2 and 3.∴ n (n-1) (n+1) = n3\xa0- n is divisible by 6.( If a number is divisible by both 2 and 3 , then it is divisible by 6)\xa0 | |
| 23656. |
What is trigonometric identity |
| Answer» | |
| 23657. |
x*4–3x*2+4x+5 is dovided by x*2+1–x |
| Answer» We have, f(x) =x4\xa0- 3x2 + 4x + 5 and g(x) = x2\xa0+ 1 - x.We find that degree f(x) = 4 and degree g(x) = 2.Therefore, quotient q(x) is of degree 4 - 2 = 2 and remainder r(x) is of degree less than 2 = degree (g(x)).So, let q(x) = ax2 +bx + c and r(x) = px + q.Using division algorithm, we have f(x) = g(x) {tex}\\times{/tex}\xa0q(x) + r(x){tex}\\Rightarrow{/tex}x4 + 0x3 - 3x2 + 4x + 5 = (x2 - x + 1){tex}\\times{/tex}(ax2 + bx + c) + (px + q){tex}\\Rightarrow{/tex}x4 + 0x3 - 3x2 + 4x + 5 = ax4 - ax3 + ax2 + bx3 - bx2 + bx + cx2 - cx + c + px + q{tex}\\Rightarrow{/tex}\xa0x4 + 0x3 - 3x2 + 4x + 5 = ax4\xa0+ (b - a)x3 + (c - b + a)x2 + (b - c + p)x + c + qOn equating the coefficients of various powers of x on both sides, we geta = 1 [On equating the coefficients of x2]b - a = 0 [On equating the coefficients of x3]c - b + a = -3 [On equating the coefficients of x2]b - c + p = 4 [On equating the coefficient of x]and, c + q = 5 [On equating the constant terms]a = 1....... (i)a = 1 put in b- a = 0b - 1 = 0b = 1....... (ii)c - b + a = -3c - 1 + 1 = -3c = -3.......... (iii)b - c + p = 41 - (-3) + p = 41 + 3 + p = 4p = 0 ......... (iv)c + q = 5- 3 + q = 5q = 5 + 3 = 8 ....... (v)From (i), (ii) , (iii), (iv) and (v), we get a = 1, b = 1, c = -3, p = 0 and q = 8Therefore, Quotient q(x) = x2 + x - 3 and Remainder r(x) = 8 | |
| 23658. |
Kya 2017-2018 Mae mathematics ka paper muskie hoga class10 |
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Answer» Simple Tha ISYLE tho pucha tha Maybe nobody knows |
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| 23659. |
How to compare mean,meadian amd mode of the given data? |
| Answer» Mode=3Median- 2Mean | |
| 23660. |
Find the completing square method are 4×square+3×+5=0 |
| Answer» No real roots | |
| 23661. |
Find the value of tan 30 geometrically |
| Answer» | |
| 23662. |
pie=? |
| Answer» 22/7,3.14 | |
| 23663. |
Sin Q |
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Answer» .Sin theta P/H |
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| 23664. |
Let p be a prime number. If p divides a×a,then p divides a, where a is a positive |
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| 23665. |
1/2x-1/y =1;1/x+1/2y=8 |
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| 23666. |
Find the value of k , if the quadratic equation is 3x to the power 2 - k√3x + 4=0 |
| Answer» K= 4 ... | |
| 23667. |
If sin + cos = √2 then tan + cot = ? |
| Answer» √2+1 | |
| 23668. |
What are you understand by magnifying of spherical mirror |
| Answer» | |
| 23669. |
Why is section formula is used in coordinate geometry? |
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Answer» It is used as find the area of triangle What does it mean?? To solve questions based on it. |
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| 23670. |
45000=A×8/100 #why 100 is divided |
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| 23671. |
What happens if two values are in roots and are equal to zero |
| Answer» Both values are equal to zero | |
| 23672. |
Mean of 18 numbers is 20,if 2 is added each number find the new mean |
| Answer» And is 22. | |
| 23673. |
How many Questions can match from sample paper of this site? |
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| 23674. |
Find the roots of the equation (x-4) (X+4)=9 |
| Answer» x=5 | |
| 23675. |
Find the sum of all three digit numbers each of which leave the remainder 3 when divided by 5. |
| Answer» 99090 | |
| 23676. |
What can we say about decimal expansion of an irrational no. |
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| 23677. |
4. Find the coordinates of the point on y-axis which is nearest to the point (–2, 5). |
| Answer» (0,5) | |
| 23678. |
How much paper will come from NCERT |
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| 23679. |
solve for x and y: x/2+2y/3=-1and x -y/3=3 |
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| 23680. |
If Sin+cos=x then prove that sin^8+cos^8=4-3(1-sin)/4 |
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| 23681. |
The circumference of the edge of hemispherical bowl is 132cm . Find the capacity of the bowl. |
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Answer» 2πr=132r=21cmVolume of hemisphere = 2/3πrxrxr 2/3x22/7x21x21x21 = 2x22x21x21 =19404 cm3 19404 cm3 |
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| 23682. |
What is a polunomial |
| Answer» A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. | |
| 23683. |
Linear equation me taxi wala question |
| Answer» | |
| 23684. |
Class m padhane k liye chapter ki sequence kya honi chahiye.. |
| Answer» Those chapters was are very difficult | |
| 23685. |
Show that n2-1 is divisible by 8 if n is an positive integer |
| Answer» Let n = 4q + 1 (an odd integer){tex}\\therefore \\quad n ^ { 2 } - 1 = ( 4 q + 1 ) ^ { 2 } - 1{/tex}{tex}= 16 q ^ { 2 } + 1 + 8 q - 1 \\quad \\text { Using Identity } ( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }{/tex}{tex}= 16{q^2} + 8q{/tex}{tex}= 8 \\left( 2 q ^ { 2 } + q \\right){/tex}= 8m, which is divisible by 8. | |
| 23686. |
What are polynomials |
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| 23687. |
What is well embankment |
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Answer» Thanks When a earth is dogged out for construction of well the mud taken out is placed near the well like its boundary. Or . the boundary of well is called well embankment ( it is equal to the volume of mud digged during construction of well) |
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| 23688. |
what is the full form of lSA ? |
| Answer» Lateral Surface Area | |
| 23689. |
1) alpha sq upon beta +beta sq upon alpha solve tell solution in detail |
| Answer» | |
| 23690. |
what is the full form of lSA |
| Answer» Latent Semantic Analysis\xa0 | |
| 23691. |
3x+4x=12x |
| Answer» | |
| 23692. |
Find the perpendicular distance of the point p(2-2) from x axis |
| Answer» 2 units | |
| 23693. |
Solve this quadratic eq 3x^2-2squareroot6x+2=0 |
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Answer» Root2/3, root2/3 √2/√3 |
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| 23694. |
find the zero of the polynomial 49X2 -9 |
| Answer» -3/7 & 3/7 | |
| 23695. |
Show that exactly one of the no - n , n+2 , n+4 is divisible by 3 |
| Answer» Let n =3kthen n + 2 = 3k + 2and n + 4 = 3k + 4Case 1: When n=3k ,n is divisible by 3 ............(1)n + 2 = 3k + 2or, n + 2 is not divisible by 3n + 4 = 3k + 4= 3(k + 1) + 1or, n + 4 is not divisible by 3Case 2:When n=3k+1, n is not divisible by 3\xa0n + 2 = (3k + 1) + 2=3k + 3 = 3(k + 1){tex} \\Rightarrow{/tex}\xa0n+ 2 is clearly divisible by 3..........................(2)n + 4 = (3k + 1) + 4= 3k + 5= 3(k + 1) + 2{tex}\\Rightarrow{/tex}\xa0n + 4 is not divisible by 3Case 3:When n=3k+2,n is not divisible by 3\xa0n + 2 = (3k + 2) + 2= 3k + 4(n + 2) is not divisible by 3x + 4 = 3k + 6 = 3(k + 2){tex}\\Rightarrow{/tex}\xa0n + 4 is divisible by 3........................(3)Hence, from (1),(2) and (3) it is clear that\xa0exactly one of the numbers n, n + 2, n + 4, is divisible by 3. | |
| 23696. |
Two concentric circles are of radii 10cm |
| Answer» | |
| 23697. |
What is the common diffrance of an AP in which a21-a7=84 |
| Answer» d = 6. | |
| 23698. |
sin x+sin y=a, cos x+ cos y=b then sin(x+y)= |
| Answer» | |
| 23699. |
If AB13.6cm,Ac11.9cm and Ec5.1cm ,FindAd |
| Answer» | |
| 23700. |
Which is the first composite number |
| Answer» 4 | |