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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.
| 36051. |
in an a.p. the sum of first n terms is 3n×3n÷2+13n÷2. Find the 25th term. |
| Answer» Is it 11? | |
| 36052. |
How many hours should a 10th class student study? |
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Answer» A cordinv to me if u want to practise for future from now u must study6hr a day and for just passing out 2-3hrs ut with great. Concentration in each. Case u must try to attempt to as many ques. On a specifi c topic At least 3-4 hours in a day At least 2 hours according to me |
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| 36053. |
Show square root of 1 to 30 |
| Answer» Hadnt u studied 8th class | |
| 36054. |
X-3y-6=0 |
| Answer» x-3y=6X-y=2x=y+2(i)Put the value of xy+2-3y=6-2y=4Y=-2Put the value of y in eq. (i)x=-2+2x=0 | |
| 36055. |
Find the value of k,(-4) is a zero of the polynomial x^2-x-(2k+2) |
| Answer» Given that, -4 is a zero of the polynomial f(x) =\xa0x2 - x - (2k + 2), so, we havef(-4) = 0{tex}\\Rightarrow{/tex}\xa0(-4)2\xa0- (-4) - 2k - 2 = 0{tex}\\Rightarrow{/tex}\xa016 + 4 - 2k - 2 = 0{tex}\\Rightarrow{/tex}\xa018 - 2k = 0{tex}\\Rightarrow{/tex}\xa02k = 18{tex}\\Rightarrow{/tex} k = 9. | |
| 36056. |
Exercise 7.4 optional coordinate geometry i did not understand properly |
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| 36057. |
Ques. No . 2 of ex. 7.1 coordinate geomatory |
| Answer» Using distance formula, for help see the fig.7.1 of ncert and use Pythagoras theoram | |
| 36058. |
How to do simplify in algebraic expressions |
| Answer» Simply try to factorise or compute the like and unlike terms differently | |
| 36059. |
Algebric expressions and identities How to do simplify |
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| 36060. |
Prove 1+cosA+sinA/1+cosA-sinA=1+sinA/cosA \u200c\u200c\u200c\u200c |
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| 36061. |
If a+b =c, then what is the value of d |
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| 36062. |
If x=2/3 and x= -3 are the roots of the equation ax sauare + 7x + b = 0 find the value of a and b |
| Answer» We have, ax2 + 7x + b = 0Since x = {tex}{2 \\over 3}{/tex}, -3 are the solutions of the given equationSubstitute x = {tex}{2 \\over 3}{/tex} in the given equation, we get{tex}a({2 \\over 3})^2 + 7({2 \\over 3})+b =0{/tex}{tex}\\implies {4a \\over 9} + {14 \\over 3} + b =0{/tex}Multiplying the equation by 9, we get4a + 9b + 42 = 0 ......(i)Now, substitute x = - 3 in the given equation, we geta(-3)2 + 7 (-3) + b = 09a +b - 21 = 0 ........(ii)Multiplying the equation by 9, we get81a +9b - 189 = 0 ........(ii)subtracting(ii) from (i), we get-77a = -231 or a = 3Substitue a =3 in (i), we get4(3) + 9b +42 = 0{tex}\\implies{/tex}9b + 54 = 0 or b = -6So, a = 3 and b = -6 | |
| 36063. |
Find the 11th term of AP is 66,65,64............ |
| Answer» Tn=a+(n-1)d=66+(11-1)-1=66+(10)-1=56 | |
| 36064. |
If the mean of the 5 observation is x,x+2,x+4,x+6,x+8 is 11. Find the mean of five observation |
| Answer» given , observations x, x + 2, x + 4, x + 6 and x + 8.given , mean = 11.\xa0Mean of given observations =\xa0{tex}\\frac{\\text{Sum of given observations}}{\\text{Total number of observations}}{/tex}{tex}\\therefore 11 = \\frac { x + ( x + 2 ) + ( x + 4 ) + ( x + 6 ) + ( x + 8 ) } { 5 }{/tex}{tex}\\Rightarrow 55 = 5x + 20{/tex}{tex}\\Rightarrow 5x = 55 - 20{/tex}{tex}\\Rightarrow 5x = 35{/tex}{tex}\\Rightarrow x = 7{/tex} | |
| 36065. |
Daily life problems |
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| 36066. |
find OA.OB=OC.OD |
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| 36067. |
Prove 3√2 is irrational |
| Answer» Prove :Let 3+√2 is an rational number.. such that 3+√2 = a/b ,where a and b are integers and b is not equal to zero ..therefore, 3 + √2 = a/b√2 = a/b -3√2 = (3b-a) /btherefore, √2 = (3b - a)/b is rational as a, b and 3 are integers.. It means that √2 is rational.... But this contradicts the fact that √2 is irrational.. So, it concludes that 3+√2 is irrational.. hence proved.. | |
| 36068. |
The length of the diagonal of a rhombus 16cm,12cm.Find the length of the sides of the rhombus(10cm) |
| Answer» Since the diagonal bisect at 90° , therefore half of diagonal= half of the other diagonalNow half of 16= 8cm n half of 12=6cm...Using the Pythagoras theorem, find the side of rhombus | |
| 36069. |
Area theorem |
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| 36070. |
ex7.1solu |
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| 36071. |
If cot tita =7/8 Find all the trigonometric ratio |
| Answer» If cot thita=7/8 then other raatios areCot thita =AB/BC=7/8Then AB=7 And BC=8 Then we have two sides Therefore by pythagoras theroemAC=7SQUARE+8SQUAREAC=49+64AC=UNDERROOT 113ThereforeSin thita=BC/AC=8/UNDERROOT 113COS THITA=AB/AC=7/UNDERROOT 113TAN THITA=BC/AB= 8/7COSEC THITA=AC/BC=UNDERROOT113/8SEC THITA=AC/AB=UNDERROOT113/7 | |
| 36072. |
Can the questions of optional exercise come in cbse board exams |
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Answer» 200% they will definitely ask My teachers and my guiders also said like this only No it\'s not from the scence of examination Yes . 100% . All qus of optional ex. are most imp. 100% because i have cross cheked it with last two years papers I perhaps that no Yes sure May be ..dear i think atleast 40% will be from optional exercise..?? |
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| 36073. |
Find the sum of AP 2,7,12........to 10 terms |
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Answer» a=2 d= 5S10=10/2[4+9*5] = 5(4+45) =5*49 = 245 245 245 |
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| 36074. |
Define |
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Answer» ? what ? What ? ? |
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| 36075. |
Find the value of k for which the lines (k+1)x + 3ky + 15=0 and 5x +ky +5=0 are coincident |
| Answer» a1/a2=b1/b2=c1/c2(K+1)/5=3k/k=15/5Cross ✖ a1/a2&b1/b2We getK(k+1)=5(3k)K²+k=15kK²-14k=0K-14=0K=14Put value of kK+1/515/53.3k/k42/14=3Therefore,a1/a2=b1/b2=c1/c2 | |
| 36076. |
Explain Pythagoras theoroem...... |
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Answer» (h)2 = (p)2+(b)2note:- pythagoras was the student of Thales. (Hypt.)2=( base)2 +(perp.)2 Square of Hypotenuse = square of base + square of perpendicular |
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| 36077. |
Using factrisation find the root of the quadratic equation 5x2_17/2x+3/2=0 |
| Answer» 20xⁿ(n=2)-17+3x=2xTherefore,20xⁿ+3x-2x-17=0Therefore,20xⁿ+x-17=0Therefore, | |
| 36078. |
Solve for x :x/x+1+x/x+2=x/x+4 |
| Answer» Simple......x/x=1 Therefore, 1+1+1+2=5&1+4=5 | |
| 36079. |
What is the difference between Euclid\'s division lemma and Euclid\'s division algorithm... |
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Answer» Its just a way of expressing There is no difference between the two....Its the same........ |
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| 36080. |
(7x-1\\x) + 3 (7x-1/x)-18=0 |
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| 36081. |
Solve 5y square - 2y - 2 =0 |
| Answer» (1+√11)/5 or (1-√11)/5 | |
| 36082. |
Sir pye is a rational no. Or not |
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Answer» It Is Actually Irrational but ItsValue Is Rational i\'e 22/7 Pie is irrational |
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| 36083. |
If two sides of a triangle are equal,then how many angles are equal? |
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Answer» 2 angles are equal which are opposite to the two given equal sides 2 When two side of triangle are equal then their oppsite angle are equal 2 2 2 |
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| 36084. |
What is the chemical formula of potassium chloride |
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Answer» K + cl2 ----> kcl KCl Kcl KCl Kcl KCl Kcl |
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| 36085. |
148m+231n=527;231m+148n=610 solve by elimination method |
| Answer» Just add and than subtract both it. Would become easier for u to solve this | |
| 36086. |
watage of triangle chapter |
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| 36087. |
The area enclosed by y=in x,its normal at( 1,0)and the y-axis is |
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| 36088. |
In the adjoining figure ps= 4, sr=2,pt=3,qt=5. Show that ∆pqr~∆pst. Calculate st if qr = 5.8 |
| Answer» Where is the adjoining figure | |
| 36089. |
Kx(3x-1) + 25 find the value ofk |
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| 36090. |
Find the area of the sector of the circle of radius 5cm if the corresponding arc length is 3.5cm. |
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Answer» Working plz 8.75cm^2 |
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| 36091. |
7.1 ka 3 q |
| Answer» We are given three points A(1,5),B(2,3) and C(-2,-11).We will find distance of AB BC AND CAand WE WILL CHECK THAT if AB +BC=CA..SO DISTANCE OF AB =root 5.BC=4. CA=3root5..So,AB+BC IS NOT EQUAL TO CA4+ROOT5not equal to 3 root5hence these points are not collinear...***********Thank. You *************..:: | |
| 36092. |
Which term of the AP 3,15,27,34....will be 132 more than it\'s 54th term ? |
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Answer» Anyone can solve this question for me... ?? But kanika 34 - 27 =7 hota h....common difference same nhi aata hai... a54=639 an=132639+132=77165th term is132 more than its 54th term |
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| 36093. |
8.4 9 |
| Answer» Which book | |
| 36094. |
If sinA + 2× cosA =1 prove that 2sinA -cosA |
| Answer» 2sinA-cosA=2 | |
| 36095. |
Please make me understand about arithmetic progression |
| Answer» AP means a sequence in which each term differs from its preceding term by a constant. | |
| 36096. |
If tan(a-b)=not defined and tan(a+b)=1/^3 find the value of a and b |
| Answer» b=30 and a=60 | |
| 36097. |
How many types of formula for coordinate geometery |
| Answer» 6 types of formula they are:1. A-b distance formula 2: midpoint formula 3: intersection formula 4: centroid formula 5: area of triangle ABC 6: 3 points are collinear | |
| 36098. |
Euclid s divion lemma |
| Answer» a=bq+r<=0 | |
| 36099. |
Ghjg |
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| 36100. |
If(p-x)and (q-1/2) is factor of px^2+5x+q..find p/q=?? |
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