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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.
| 28051. |
Ao/Bo=bo/od=1/2 and ab=5cm. find the value of dc |
| Answer» In \u200b{tex}\\triangle {/tex}AOB and \u200b{tex}\\triangle {/tex}\u200bCOD\u200b{tex}\\angle{/tex}\u200b AOB = \u200b{tex}\\angle{/tex}\u200b COD [Vertically opposite angles]{tex}\\frac{{AO}}{{OC}} = \\frac{{BO}}{{OD}} \\Rightarrow \\frac{{AO}}{{OB}} = \\frac{{OC}}{{OD}}{/tex}[Given]\u200b{tex}\\therefore {/tex}\u200b\u200b{tex}\\triangle {/tex}\u200bAOB \u200b{tex} \\sim {/tex}\u200b {tex}\\triangle {/tex}COD [By SAS similarity]\u200b{tex}\\therefore {/tex}\u200b{tex}\\frac{{AO}}{{OC}} = \\frac{{BO}}{{OD}} = \\frac{{AB}}{{CD}}{/tex}{tex}\\frac{1}{2} = \\frac{{AB}}{{DC}}\\left[ {\\frac{{AO}}{{OC}} = \\frac{{BO}}{{OD}} = \\frac{1}{2}} \\right]{/tex}is given\u200b{tex}\\Rightarrow {/tex}\u200b {tex}\\frac{1}{2} = \\frac{5}{{DC}}{/tex}{tex}\\Rightarrow {/tex} DC = 10 cm | |
| 28052. |
Prove cosA- sinA +1÷ cosA+ sinA-1= cosec A+cotA |
| Answer» Divide both numerator nd denominator by sin A... THEN use the identity cosec^2A = 1 + cot^2A.. | |
| 28053. |
In the given figure |
| Answer» Fig..?? | |
| 28054. |
Maths CBSE board paper 2016 |
| Answer» Iss app pr last years ques mai shayad 2016 ke cbse papers h | |
| 28055. |
If 3x+2y=13and 3x-2y=5then find the value of x+y |
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Answer» 5... So x+y=5 X=3and y=2 5 |
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| 28056. |
The probability of winning a game is 0.6,what is the probability of losing it? |
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Answer» 0.4... 0.4 |
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| 28057. |
√2 is a irrational |
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Answer» Assume contary that √2 is rational √2=a/b (where a and b are co primes) √2b=a Squaring both the sides 2b sq.=a sq. eq.1(sq. means square) Now 2 is a factor of a sq. 2 is a factor of a a=2c(c is an integer) From eq. 1 2b sq.=(2c sq.) 2b sq.=4c sq. b sq.=2c sq. 2 is a factor of b sq. 2 is a factor of b 2 is a factod of a and b both.This contradicts arises due to our wrong assumption that √2 is rational. It means √2 is irrational. Hence proved Ya.. |
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| 28058. |
How we find a in assumed method |
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Answer» Saari frequency mein se wo frequency jo ki bilkul middle mein h...wo \'a\' hoti h .. By the formula £fixxi/£fi |
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| 28059. |
Explain wheather 3 × 12×101+4 is a prime number or a composite no. |
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Answer» It is a composite number because it has factors other than 1 nd itself.. Its a composite no. |
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| 28060. |
Two post are k meter apart and height of one is double that of other |
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Answer» What we have to find here? Complete ur question What is question |
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| 28061. |
5roots5xsquare +30x +8roots5 |
| Answer» 7√5/50 and -13√5/50 | |
| 28062. |
What is value of cos square67°-sin square23° |
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Answer» 0 0 Ans=0 0 |
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| 28063. |
Maths in Hindi |
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Answer» Its called गणित What |
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| 28064. |
Solve the following pair of linear equationpx+qy=p-qqx-py=p+q |
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Answer» X=1 and y=-1 Px+qy=p-q -(1)qx-py=p+q-(2)multiply(1) with p and eq2 with qPx2+pqy=p2-pq-(3)q2x-pqy=pq+q2-(4)add eq 3 and 4 Px2+qx2=p2+q2X(p2+q2)=p2+q2X=1Put this in eq 1P(1)+qy=p-qqy=p-q-pY=-q/qY=-1 Ye chap 3 ki optional ka q h. Multiply (i) by p and (ii) by q and add them and slove by elimination method ... Then answer is x=1 and y= -1 Ye konse chap ka h ?? |
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| 28065. |
Sin30* + tan45* - cosec60*___________________________Sec30* + cos60* + cot45* |
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Answer» O ya sorry by mistake m 4 lagana bhul gaya....afeefa jii ka answer sahi h.... 43-24√3/11 (43-2√3)/11... |
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| 28066. |
Express euclid division algorithm |
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Answer» a=bq+r U will understand from that Open page no. 4 in maths textbook |
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| 28067. |
Check graphically whether the pair of equations constituent. X+3y=62x-3y=12 |
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Answer» The given equations is\xa0x+3y=6.......(i)\xa02x-3y=12....(ii)\xa0Now, from equation (i)If x= 0, then\xa00+3y=63y=6y=6/3y=2\xa0(x,y) =(0,2)...(I)and when y=0 , then\xa0x+0=6x=6\xa0(x,y) =(6,0)........(II)\xa0Now,from equation (ii),If x= 0, then\xa00-3y=12y=-4(x,y)=(0,-4)...............(III)and\xa0if y=02x-0=12x=6(x,y) = (6,0)............(IV)\xa0Mark these points (I), (II) , (III) & (IV) on graph as shown below:\xa0thus, x\xa0+ 3y\xa0= 6 intersects\xa0y–axis at (0, 2) and\xa0\xa02x\xa0– 3y\xa0= 12 intersects\xa0y–axis at (0, – 4). Cause it gives detailed answer Refer google mohit☺ |
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| 28068. |
Draw a line segment of length 7.6cm and divide it in the ratio 5:8measure the two parts |
| Answer» Steps of Construction :(i) Draw AB = 5.6 cm(ii) At a draw an acute ∠BAX below base AB.(iii) On AX make 5 + 8 i.e. 13 equal parts and mark them as A1, A2, A3, A4,... A13(iv) Join B to A13. From A5\xa0draw A5C || A13B. C is the required point of division and AC : CB = 5 : 8.On measuring, we getAC = 3.1 cm,CB = 4.5 cmJustification :[Using basic proportionally theorem]Therefore, This shows that C divides AB in the ratio 5 : 8. | |
| 28069. |
X=3, x^2-2kx-6=0 find the value of k |
| Answer» Given it\'s one root of the equation x² - 2kx - 6 = 0one of its root x = 3\xa0for finding the value of k put the value of x in this equation.(3)² - 2k(3) - 6 = 09 - 6k - 6 = 06k = 3k = 3/6k = 1/2hence,the value of k = 1/2x² - 2(1/2)x - 6 = 0x² - x - 6 = 0x² - 3x + 2x - 6 = 0x(x - 3) + 2(x - 3) = 0(x + 2)(x - 3) = 0x = 3 , x = -2 | |
| 28070. |
If 1+sin²=3 sin cos , prove that tan = 1 or 1/2 |
| Answer» or1+ sin2 theta =3sin theta cos thetasin2 theta + cos2 theta +sin2 theta=3sincos theta2sin2 theta+cos2 theta=3sincos theta2sin2 - 3 sincos + cos2=0solve this quadratic u will get 2 factors(sin-cos)(2sin-cos)=0sin-cos=0\xa0sin=costan=12sin-cos=0sin/cos=1/2tan=1/2 | |
| 28071. |
After how many decimal places will the decimal expansion of 23/2^4×5^3 terminate |
| Answer» After 4 decimal places the decimal expansion terminate | |
| 28072. |
Write euclid division lemma |
| Answer» For any two given positive integers a and b there exist unique whole number q and r such that a=bq+r, where 0<=r | |
| 28073. |
2x+3y=7:a(x+y) b(x-y)=3a+b-2 find the value of a and b |
| Answer» Kisi ko nhi ata kya | |
| 28074. |
find the root of equation x²-3x-m(m+3)=0 where m is a constant |
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Answer» Sorry x=-m X=3+m and x=m |
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| 28075. |
Find zeros of √3x2 +10x +7√3 |
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Answer» \xa0√ 3x2 + 10x + 7\xa0√ 3 √ 3x2 + 3x + 7x + 7\xa0√ 3 =0 √ 3x( x + √ 3) + 7 ( x + √ 3) = 0\xa0( x + √ 3) ( √ 3x + 7) = 0x + √ 3 = 0 and √ 3x + 7 = 0x = - √3 and x = -7/\xa0√3 X=-√3,. -7/√3 This equation does not have any real roots as its discriminant is less than zero X=-√3 and x=-7/√3 |
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| 28076. |
A bag contains 5 red balls and 3 black balls. what is the probability of getting two different balls |
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Answer» Aditi ji at the same time two balls are taken at same time Red =5/8 & Black =3/8 |
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| 28077. |
X^2 + 61x + 720 |
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Answer» -45 and -16.... 16 and 45 -45 and -16 for value of x |
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| 28078. |
Example 9 of chapter 13 |
| Answer» | |
| 28079. |
2 cubes each of volume 64cm cubes are joined end to end.find the surface area of resulting cuboid |
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Answer» Vol=64cm^3=> a^3=4^3=>a=4l=8b=4h=4TSA=2(lb+bh+hl)=> 2(32+16+32)=> 2(64+16)=> 2×80=> 160cm^2 160 cm sq |
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| 28080. |
Derivation of values of trigonometric table of angles 30, 45 ,&60 |
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| 28081. |
(secA+tanA)(secB+tanB)(secC+tanC)=(secA-Tan)(secB-tanB)(secC-tanC)Each side equal to +-1 |
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Answer» Its* Multiply last by itsome conjicuate |
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| 28082. |
Two cubes have their volumes in the ratio 1:7 find the ratio of theirsurface areas |
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| 28083. |
X-y=33x-2y=10 |
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Answer» X-Y=4, x=4+y(1)3x-2y=103(4+y)-2y=10. from112+3y-2y=10Y=-2From1,X=4+(-2) =2 X=2, y=-2 X=4 y=1 |
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| 28084. |
Find the 2 number whose sum is 27 and product is 182 |
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Answer» 14 and 13 Let fitst number be x and second be 27+xAccording to given conditionX(27+×) =18227×+×2 -182×2-13×-14×-182×(×-13)-14(×-13)(×-13)(×-14)×=13,×=14 |
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| 28085. |
What is campleting square method |
| Answer» | |
| 28086. |
blue print for 2019 exam of cbse 10 |
| Answer» It\'s given in cbse.nic websites or in anyoth3r websites | |
| 28087. |
Check whether -150 is a term of the ap 11,8,5,2..... |
| Answer» Ncert solution | |
| 28088. |
Find a quadratic polynomial whose one zero is 8 and product is -56 |
| Answer» X^2 - x - 56 | |
| 28089. |
If zeroes of polynomials x square +4x +2a are a and 2 upon a , then find value of a . |
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Answer» Product of the zeros =C/A---------- here A=1;..... C=2a......... a×2/a=2a/........ 2=2a......a=1 hope it will be helpfull for you 2 |
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| 28090. |
Pk garg book modal paper 1 question no.3 |
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| 28091. |
Yr all formula |
| Answer» | |
| 28092. |
Write the value of root the equation 9x2-6x-2=0 |
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Answer» 9x2-6x+3x-23x(3x-2)+(3x-2)(3x-2)(3x+1) 1+-√3 by 3 |
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| 28093. |
Find the value for which the equation x2 +5kx-16=0 has real and equal roots |
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Answer» 8/5 is the value For no real value k= 8 upon 5 |
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| 28094. |
In an AP given A3=15, S10=125, find d and A10 |
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Answer» D= -1 A10 = 8 D = -1A10 = 8 d=-1 d=-1, a10 = 8 |
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| 28095. |
What is the present age of a child if he born 22 Dec 2000 and now present time in 2009. |
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| 28096. |
3sin0+4cos0= |
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Answer» 3sin0+4cos0 = 3x0+4x1 = 0+4 = 4 Check que some value must be there 4 |
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| 28097. |
If p is a prime number, then prove that √p is an irrational number. |
| Answer» Let us assume, to the contrary, that √p is rational.So, we can find co-prime integers a and b(b ≠ 0){tex}\\begin{array}{l}\\sqrt p=\\frac ab\\\\\\end{array}{/tex}{tex}a = b _ { \\sqrt { P } }{/tex}on squaring both sides we geta2 = pb2 ...... (1)so a2 is divisible by phence a is divisible by p ....... (2)So, we can write a = pc for some integer c.Squaring both the sides we geta2 = p2 c2 ....⇒ pb2 = p2 c2 ....[From (1)]⇒ b2 = pc2⇒ b2 is divisible by p⇒ b is divisible by p ....... (3)From (2) and (3) we conclude that\xa0p divides both a and b.∴ a and b have at least p as a common factor.But this contradicts the fact that a and b are co-prime. (As per our assumption)This contradiction arises because we have assumed that √p is rational.∴ √p is irrational. | |
| 28098. |
The angle of a triangle r in a.p .,the least being half of the greatest. Find the angles. |
| Answer» Let the angles are a-d,a and a+dthen a-d +a a+d=1803a=180a=60Alsoa-d=1/2(a+d)2a-2d=a+da=3d ,d=a/3=60/3=20So the angles are 40,60 and 80 | |
| 28099. |
Conversion of cm3 into liter |
| Answer» 1 litre =1000 centimetre cube | |
| 28100. |
Ddgjfndshjcwj |
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Answer» What? ,,????????? |
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