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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.
| 10651. |
Pt is tangent and pab is secant if pt = 6cm ab = 5cm find the length ab |
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| 10652. |
Prove that1+2=3 the person will be awarded with rupees100000000000000000000000......... |
| Answer» 1×1+1÷2+2=3 | |
| 10653. |
If sin thita + cos thita =1then prove that sin thita - cos thita =-+1 |
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| 10654. |
What is the probablity of raining in a clear sky day ? |
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Answer» O 0 1/2 |
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| 10655. |
What is quadratic equation? |
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Answer» ax^2 +/- bx +/- c = 0 X+x - 4x +5 |
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| 10656. |
Ch4how i study |
| Answer» first of all maths revise krte hai second u just have to revise formulae. | |
| 10657. |
What is a tangent |
| Answer» The word tangent is originated from the latin word tangre which means to touch. A tangent to a circle is a line that intersects the circle in exactly one point. | |
| 10658. |
If the diagonal of a quadrilateral divide each other proportionally then ,what is it? |
| Answer» A right triangle | |
| 10659. |
Find the reminder when (x⁴+x³-2x²+x1) is divided by x, without using division. |
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Answer» 1 1 |
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| 10660. |
Value of cos |
| Answer» Base by hypotenuse | |
| 10661. |
Find the solution of the equation by using substitution method5x-4y+8=07x+6y-9=0 |
| Answer» 5+-46:()56+: | |
| 10662. |
What is. Trigonometric identity???????? |
| Answer» These r very simple sin swu | |
| 10663. |
What is the mean of first n odd natural number if n2 /81 |
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| 10664. |
Solve for \'p\'&\'q\' 2p + 3q =17. 2p+2 - 3q+1=5 |
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Answer» 2p-3q=2....I.2p+3q=17......ii.Eliminating method. i+ii4p=19p=19/4q=-23/6 2p-3q Not make |
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| 10665. |
What is the value of2×2 |
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Answer» 4????? 4??? |
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| 10666. |
If 1/cos(x-y),1/coax,1/cos(x+y)are in AP then find coax.sexy/2 |
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| 10667. |
As We dar and aw |
| Answer» Aaawww | |
| 10668. |
Show that there is no positive integer n for which root over n-1+root over n+1 is rational |
| Answer» Let us assume that there is a positive integer n for {tex}\\sqrt{n-1}+\\sqrt{n+1}{/tex}which is rational and equal to {tex}\\frac pq{/tex}, where p and q are positive integers and (q\xa0{tex}\\neq{/tex}\xa00).{tex}\\sqrt { n - 1 } + \\sqrt { n + 1 } = \\frac { p } { q }{/tex}......(i)or,\xa0{tex}\\frac { q } { p } = \\frac { 1 } { \\sqrt { n - 1 } + \\sqrt { n + 1 } }{/tex}on multiplication of numerator and denominator by\xa0{tex}\\sqrt{n-1}-\\sqrt{n+1}{/tex}\xa0we get{tex}= \\frac { \\sqrt { n - 1 } - \\sqrt { n + 1 } } { ( \\sqrt { n - 1 } + \\sqrt { n + 1 } ) ( \\sqrt { n - 1 } - \\sqrt { n + 1 } ) }{/tex}{tex}= \\frac { \\sqrt { n - 1 } - \\sqrt { n + 1 } } { ( n - 1 ) - ( n + 1 ) } = \\frac { \\sqrt { n - 1 } - \\sqrt { n + 1 } } { - 2 }{/tex}or,\xa0{tex}\\sqrt { n + 1 } - \\sqrt { n - 1 } = \\frac { 2 q } { p }{/tex} ........(ii)On adding (i) and (ii), we get{tex}2 \\sqrt { n + 1 } = \\frac { p } { q } + \\frac { 2 q } { p } = \\frac { p ^ { 2 } + 2 q ^ { 2 } } { p q }{/tex}{tex}\\sqrt{n+1}\\;=\\frac{p^2+2q^2}{2pq}{/tex}...............(iii)From (i) and (ii),{tex}\\style{font-family:Arial}{\\sqrt{n-1}\\;=\\frac{p^2-2q^2}{2pq}}{/tex}........(iv)In RHS of (iii) and (iv)\xa0{tex}\\frac{p^2+2q^2}{2pq}\\;and\\;\\frac{\\displaystyle p^2-2q^2}{\\displaystyle2pq}\\;are\\;rational\\;number\\;because\\;p\\;and\\;q\\;are\\;positive\\;integers{/tex}But it is possible only when (n + 1) and (n - 1) both are perfect squares.Now n+1-(n-1)=n+1-n+1=2Hence they differ by 2 and two perfect squares never differ by 2.So both (n + 1) and (n -1 ) cannot be perfect squares. Hence there is no positive integer n for which\xa0{tex}\\style{font-family:Arial}{\\sqrt{n-1\\;}+\\sqrt{n+1}}{/tex} is rational | |
| 10669. |
Definition of irrational |
| Answer» The irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios of integers. | |
| 10670. |
Which of the following has a noneterminating decimal expansion? A) 77/210 B) 23/8 C) 17/8 D) 35/50 |
| Answer» {tex}\\frac { 77 } { 210 } = \\frac { 11 } { 30 } = \\frac { 11 } { 2 \\times 3 \\times 5 } \\text { Here, } q = 2 \\times 3 \\times 5{/tex}which is not of the form\xa0{tex}2 ^ { n } 5 ^ { m }{/tex}.So, the rational number\xa0{tex}\\frac { 77 } { 210 }{/tex}has a non-terminating repeating decimal expansion. | |
| 10671. |
How to get 99/100 in maths |
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Answer» by constant practice, by maintaining Accuracy & speed\xa0 Dedication consistency\xa0with smart work\xa0All the best, Hard work dear |
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| 10672. |
Trignometry table |
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| 10673. |
What is complementary angle |
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Answer» The sum of two angles is 90° Angles whose sum is 90 |
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| 10674. |
Find the value of theta(0° |
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| 10675. |
Find value of theta [0° |
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| 10676. |
Find distance between the points R(a+b,a-b) s(a-b,-a-b) |
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Answer» We have to find the distance between the points\xa0R(a + b ,a - b) and S(a - b, - a - b).Using distance formula, we obtainRS =\xa0{tex}\\sqrt { ( a - b - a - b ) ^ { 2 } + ( - a - b - a + b ) ^ { 2 } }{/tex}=\xa0{tex}\\sqrt { 4 b ^ { 2 } + 4 a ^ { 2 } } = 2 \\sqrt { a ^ { 2 } + b ^ { 2 } }{/tex} what is the number (s) of zeros that a quadratic polynomial has/have |
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| 10677. |
Find the value of tan 30 /cot 60 |
| Answer» 1 | |
| 10678. |
Formula of( 3q+1)2 |
| Answer» 6q+2 | |
| 10679. |
WHAT is the altitude of equilateral triangle of each side 6 |
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Answer» Using Pythagoras them find the altitude 3√3 |
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| 10680. |
What is equidistant |
| Answer» From which anything equally measured. | |
| 10681. |
What is the formula of odd natural no |
| Answer» N+1/2 | |
| 10682. |
What is called quardiratic trianglr |
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| 10683. |
If tan9theta =cottheta,where 9theta is less than 90 degrees ,then find the value of cosec5theta |
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| 10684. |
The sum of n, 2n, 3n, terms of an a. p. Are s1, s2, S3. Prove that s3 equal to 3 (s2-s1) |
| Answer» {tex}{S_1} = \\frac{n}{2}\\left[ {2a + (n - 1)d} \\right]{/tex}{tex}{S_2} = \\frac{{2n}}{2}\\left[ {2a + (2n - 1)d} \\right]{/tex}{tex}{S_3} = \\frac{{3n}}{2}\\left[ {2a + (3n - 1)d} \\right]{/tex}R.H.S = 3(S2 - S1){tex} = 3\\left[ {\\frac{{2n}}{2}(2a + (2n - 1)d - \\frac{n}{2}(2a + (n - 1)d)} \\right]{/tex}{tex} = 3\\left[ {\\frac{n}{2}\\left[ {4a + 4nd - 2d - 2a - nd + d} \\right]} \\right]{/tex}{tex} = 3\\left[ {\\frac{n}{2}(2a + 3nd - d)} \\right]{/tex}{tex} = \\frac{{3n}}{2}\\left[ {2a + (3n - 1)d} \\right] = {S_3}{/tex} | |
| 10685. |
If sin 2x = cos3x ,where 2x and 3x are acite angles , the value of x is |
| Answer» Sol. sin2x= cos3x sin2x= sin(90-3x) Comparing the theta of sin, we get 2x= 90-3x 2x+3x=90 5x=90\xa0 x=18. | |
| 10686. |
Show that 1+1=0 |
| Answer» It\'s not possible ..... even if u can then u have to follow BODMAS rule......that means it will come 2...not 0 | |
| 10687. |
If sinA - cosA = 0 Find sin⁴A + cos⁴A ? |
| Answer» sinA = cosA . So sin⁴A= cos⁴A Now addsin⁴A + cos⁴ A = 2 sin⁴A or 2 cos⁴A | |
| 10688. |
Show that root2 is irrational |
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Answer» Let us assume √2 is rational then √2=a/b (a and b are Co primes) Squaring both sides (√2)2=a2/b2 then 2b2 =a2b2=a2/2a/2 (using theorem 1.3)a=2c a2=4c22b2=4c2b2=2c22/b22/bFrom this we conclude that a and b have 2 common factor but this contradicts the fact that a and b have no common factor other than 1 hence our assumption is wrong √2 is irrational . Thank u by contradicting.....first u have to think it a integar...then solve |
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| 10689. |
Solve 4^x-4^x-1=24 |
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| 10690. |
What do you mean by trigonometry |
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Answer» The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles. Faltu question . |
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| 10691. |
If the remainder on division x3 +2x2+kx+3 by x-3 is 21 find the quotient and value of k |
| Answer» It\'s simple just divide the whole equation by x-3 then equate the remainder with the given remainder that is 21 from here u will get the value of k then put this value in quotient to find the quotient. Ok | |
| 10692. |
x+y=5,2x-3y=4 |
| Answer» The value of x and Y can be find by various methods like\xa0substitution method\xa0elimination methodgraphical methodcross multiplication method\xa0here we are solving with substitution method as below,first find value of x from equation i.e, x=5-ynow put the value in other equation as2(5-y)-3y=4 10-2y-3y=410-5y=4-5y=4-10-5y=-6y={tex}6/5{/tex} Now we can find the value of x by simply putting the value of y in first equationi.e, X=5-y X = 19/5 | |
| 10693. |
What is completing the square method |
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| 10694. |
A,a+d,a+2d given values find a1000-A1000 =? |
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| 10695. |
a31= ?, a11 =38, a16 =73 find a31? |
| Answer» a11 = a + 10d = 38 ......... ia16 = a + 15d=73 ....... iifrom i and ii38 - 10d + 15d = 735d=35d = 7from ia + 70 = 38a = - 32a31=a +30d = -32 + 210 = 178a31 = 178 | |
| 10696. |
What is the LCM of 2 and √2.... |
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Answer» √2 2√2 |
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| 10697. |
What must be subtracted from the poly. X |
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| 10698. |
If X,Y,Z are in A.P then find the value of (X+Y+Z) (Y+z-x) |
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| 10699. |
Gsn |
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| 10700. |
If the mean of n odd numbers is n square/81 find n? |
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