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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 11051. |
If x=1/2 roots7 then find the value of x2 -x/2root7 +1 |
| Answer» We know that x=1/2root7Therefore by putting the valueWe get =(1/2root7)²-(1/2root7/2root7)+1=1/28-1+1=1/28 answer. | |
| 11052. |
If three suppessive coefficient in the expansion (1+x)n are 220,495 and 792 find the n. |
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| 11053. |
If a natural number is increased by 84 then it is equal to 160 times its reciprocal.Find the number. |
| Answer» x+40=160÷x | |
| 11054. |
In triangle abc b is right angle d is midpoint on bc prove ac2=4ad2=3ab2 |
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| 11055. |
Find the sum of integers between 100 and 200 that are divisible by 9 |
| Answer» 2783 | |
| 11056. |
Multiples |
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| 11057. |
If points ( 1, 2), (x, 4), (7, 3), (5, y)are vertices of a rectangle then find the valueof x+y |
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| 11058. |
Find middle term of A.P. 6,13,20,......,216. |
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Answer» Its 105 105 Ans - 105 And - 105 |
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| 11059. |
If alpha and beta are the zeroes of quad polynomial x(x)+x-2find 1/alpha and 1/beta |
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| 11060. |
Explanation of trignometric identities in last exercise with table . |
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| 11061. |
Full concept of tignomatory with table. With the help of table. |
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| 11062. |
If sec3ø=cosec6ø, then find the value of cot3ø |
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| 11063. |
Solve the equation: 4+(-1)+2+............ +x =437 |
| Answer» It is an arithmetic series.a = -4, d = +3-4 - 1 + 2 + 5 + .... +\xa0(x - 3) + x = 437Sum of the series = [\xa02 a + (n-1)d ]n /2 = 437\xa0[- 8 + 3(n-1)] n / 2 = 437- 11n + 3n² = 8743 n² -11n - 874 = 0n = (11 +- 103 )/6 = 114/6 = 19 as n is positive\xa0only.So, x = a + (n-1)d = -4 + 3 (19-1) = 50 | |
| 11064. |
Express tanA in all trigonometry ratio |
| Answer» 1/ cot ASin A/ cos ASec A/ cosec ASin A × sec A(1/cos A ) × cosec A | |
| 11065. |
X²-2-x |
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Answer» (x+1) (x-2) Rearrange the following expression as X^2-x-2 and then factorise it |
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| 11066. |
Prove that 3+/8is irrational |
| Answer» Assume 3+/8 be a rational and can be written in the form a/b. Then 3+/8=a/b/8=a/b -3/8=a-3b/bWe know /8is irrational but here a-3b/b is rational. This happened because of our wrong assumption so 3+8/ is an irrational number | |
| 11067. |
If one zero polynomial (a^2+9)x^2+13x+6a is recipocal of other. Find the value of a |
| Answer» Let {tex} \\alpha{/tex}\xa0and\xa0{tex} \\frac { 1 } { \\alpha }{/tex} be the zeros of\xa0(a2\xa0+ 9)x2\xa0+ 13x\xa0+ 6a.Then, we have{tex} \\alpha \\times \\frac { 1 } { \\alpha } = \\frac { 6 a } { a ^ { 2 } + 9 }{/tex}⇒\xa01 =\xa0{tex} \\frac { 6 a } { a ^ { 2 } + 9 }{/tex}⇒\xa0a2\xa0+ 9 = 6a⇒ a2 - 6a + 9 = 0⇒\xa0a2\xa0- 3a - 3a + 9 = 0⇒\xa0a(a - 3) - 3(a - 3) = 0⇒\xa0(a - 3) (a - 3) = 0⇒\xa0(a - 3)2\xa0= 0⇒\xa0a - 3 = 0⇒ a = 3So, the value of a in given polynomial is 3. | |
| 11068. |
CBSE sllybus class 10 s.a - 1 |
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| 11069. |
a2x2-3abx+2b2=0 |
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| 11070. |
Please provide me syllabus of class 10 |
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| 11071. |
Median |
| Answer» It divide the side of triangle in equal parts | |
| 11072. |
The ratio in which the line join of (2,-4) and (-3,6) is divided by x axis is? |
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| 11073. |
Prove that 2/root3 is irrational |
| Answer» It could be proved by contradication method | |
| 11074. |
√x+y = 7 and √y +x = 11 solve it expect graphical methid |
| Answer» Solve equation | |
| 11075. |
root 3 is irrantional number |
| Answer» Yes and for proving √3irrational use contradict method | |
| 11076. |
Prove root 3 is irrational |
| Answer» let √3 be rational √3=p/q, q not equal to zero, p and q are integers and Co prime √3 =p/qSquaring both sides p^2=3q^2 let it be first equation3 divides p^23 also divides p. P=3rSquaring both sides P^2=9r^2let it be second equation 9 divides p^29 also divides p. from 1 &23q^2=9r^2 3 is a common factor in p and qThis is contradiction. Hence √3 is irrational. | |
| 11077. |
TanA+cotA=√3Find the value of sinA-cosA=? |
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| 11078. |
Is Euclid\'s division algorithm and Euclid\'s division lemma are same? |
| Answer» Yes | |
| 11079. |
Trignomateric |
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| 11080. |
0 ki power 0 = |
| Answer» 1 | |
| 11081. |
Maths solution of all theorems of triangle chapter |
| Answer» You can find all these theorems in Ncert or any other Side book | |
| 11082. |
Alfa + bita |
| Answer» -b/a | |
| 11083. |
The 6th and 17th term of an ap are 19 and 41 respectively ,find the 40th term . |
| Answer» 71 | |
| 11084. |
If it is given that cosec thita = x+1/4x prove that cosec thita + cot thita = 2x or 1/2x |
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| 11085. |
Addition |
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| 11086. |
64/2 |
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Answer» 32 3w |
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| 11087. |
General form of gp |
| Answer» a, a*d,a*2d....an*{n-1}d | |
| 11088. |
real number |
| Answer» The combin set of rational number &irrational number is known as real number. | |
| 11089. |
Sin+cos |
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| 11090. |
Use euclid division algorithm. Find HCF (196,38220). |
| Answer» Ncert question no 1ka3 solve it ex1.1 | |
| 11091. |
Ex 6.5 qno. 8 |
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| 11092. |
What is HCF of24 or 20 |
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Answer» 4 4 |
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| 11093. |
Which most important theorems is coming in board exams for class10 |
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Answer» Thales theorem Pythogorus theorum |
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| 11094. |
If √3tan a =1,find the value of sine a-cos a |
| Answer» tanA = tan30 there fore A = 30, sin30 -cos 30 = 1/2 -√3/2 = ( 1 -√3)/ 2\xa0 | |
| 11095. |
A,B,C are acute angles of triangle ABC,show that sin (B+C/2)=cos (A/2) |
| Answer» In triangle ABC , A+B+C=180 (Asp)So, B+C=180- A Now, sin ( b+C/2)Sin(180-A/2)Sin (180/2-A/2)Sin ( 90- A/2 )Which is cosA/2=RHS | |
| 11096. |
Euclid division lemma |
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Answer» 0<=r | |
| 11097. |
Tringnometrey |
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| 11098. |
Given that 2cos -sin=xCos-3sin=yTo prove that- 2xsquare +ysquare -2xy=5 |
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| 11099. |
Show that any positive even integer is of the form 6m,6m+2 or 6m+4 where is some integer |
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| 11100. |
What is coordinate |
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