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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.
| 2101. |
6. Check whether 150 is a term of the AP: TI, 8,3,*7. Find the 3 1st term of an AP whose 1 1th term is 38 and the 16th term is 73.be pofhich rd term is 12 and the last term is 106. Find the 29 |
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Answer» Let first term of Ap is a and common difference is duse formulatn=a+(n-1) dnowt11=a+(11-1) d=a+10d=38same wayt16=a+15d=73solve this equation thena=-32 and d=7now t31=a+30d=-32+210=178 |
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| 2102. |
StarlimDate:--L-L-Page:methodl of tompleting the square, |
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Answer» 5x^2 -6x -2 = 0 x^2 -(6/5)x -(2/5) = 0 (x)^2 - [2.(3/5).x] + (3/5)^2 - (3/5)^2 -(2/5) = 0 [x-(3/5)]^2 = (2/5)+(9/25) [x-(3/5)]^2 = (19/25) x-(3/5) = √19/5 x = (3/5) ± √19/5 Roots of the equation are x = [3+(√19)]/5 & x = [3-(√19)]/5_ |
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| 2103. |
Q 14: Solve for x: |
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Answer» 4x²-4a²x+(a⁴-b⁴)=0or, 4x²-2{(a²+b²)+(a²-b²)}x+(a²+b²)(a²-b²)=0or, 4x²-2(a²+b²)x-2(a²-b²)x+(a²+b²)(a²-b²)=0or, 2x{2x-(a²+b²)}-(a²-b²){2x-(a²+b²)}=0or, {2x-(a²+b²)}{2x-(a²-b²)}=0Either, 2x-(a²+b²)=0or, 2x=a²+b²or, x=(a²+b²)/2Or, 2x-(a²-b²)=0or, 2x=a²-b²or, x=(a²-b²)/2∴, x=(a²+b²)/2, (a²-b²)/2 Ans |
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| 2104. |
7. Find the 31st term of an AP whose 1 1th term is 38 and the 16th term is 71OG Eind the 2Qt |
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Answer» Tara mouh Kassa haa |
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| 2105. |
1. Determine the nth term of the AP whose 7th term is -1 and 16th ter[CBSE 201is 17 |
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Answer» thanks |
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| 2106. |
14.Solve for x and y, 3x+2y=11 and 2x-3y-3. |
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| 2107. |
Solvex14 |
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Answer» x=1/5 is the correct answer x=1/5 is the best answer x=1/5 is the correct answer x=1/5 is correct answer |
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| 2108. |
3x + 4x = 14 solve for x |
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Answer» 3x + 4x = 147x = 14x = 14/7x = 2 is the best answer. |
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| 2109. |
7. Find the 31st term of an AP whose lith termis 38 and the 16th term is 73. |
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Answer» please like my answer if you find it useful |
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| 2110. |
4. यदि a = 17-15 तथा c = 17+05 हो, तोका मान क्या+aहोगा? |
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Answer» a = V7 - V5 and c = V7 + V5, a^2= (V7 - V5)^2= 7+ 5 -2(V35), c^2= (V7 + V5)^2=7+5 +2(V35); c^2- a^2/ c^2+ a^2= __ 12 +V35 -12+V35/ 12+ V35 +12-V35 = V70/24 = |
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| 2111. |
0cThesumoffirstnterms of an AP whose first term is 8 and common difference is 20 equalto the sum of first 2n terms of another AP whose first term is-30 and the common difference is8. Find the number. 33 |
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| 2112. |
e 99 The sum of the first n terms of an AP whose first term is 8 and the commonderence is 20 is equal to the sum of the first 2n terms of another AP whose first term is-30Exemplar Problem]ad the common difference is 8. Find n |
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Answer» Sum of n terms of AP= n/2(2a + (n-1)d) For AP whose first term a = 8 and common difference d = 20. Sum of first n terms Sn = n/2 (2*8 + (n - 1)20) Sn = n/2(16 + 20n - 20) Sn = n(10n - 2) For AP whose first term a = 30 and common difference d = 8. Sum of first 2n terms S2n = 2n/2 (2*-30 + (2n - 1)8) S2n = n(-60 + 16n - 8) S2n = n(16n - 68) Given, Sn = S2nn(10n - 2) = n(16n - 68)6n = 66n = 66/6 = 11 Value of n = 6 |
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| 2113. |
8. Write an AP whose first term is 5 and dis -3 |
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Answer» For an APGiven,Firsr term a = 5, common difference d = - 3 Therefore,AP is a, a+d, a+2d, a+3d.....5, 2, - 1, - 4........ 5,2,-1,-3,-4,......d=2-5=-3series in the A. P The AP for this question is , AP =5, 2, -1, -4 ............ |
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| 2114. |
wy5. Multiply:a. 37 and 977b. 45,2V50 and 2013 by V12d. 18, 6V6 and 2715 |
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Answer» a. 21root 49b. 8 root250 root 20 A. 21 root 49B. 8 root 250 root 20 |
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| 2115. |
24. If A: B-3:4, B:C-8:10 & C:D-15:17, then find A:B:C:D. i |
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Answer» A:B=3:4=18:24B:C=8:10=24:30C:D=15:17=30:34A:B:C:D=18:24:30:34 |
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| 2116. |
2 A chord of a circle is equal to the radius of thecircle. Find the angle subtended by the chord ata point on the minor arc and also at a point on themajor arc. |
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Answer» Thank you |
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| 2117. |
33. A two digit number is four times the sum of the digits. It is also equal to 3 times the product of digitsA two digit number is four times the sum of the digits. It is also equal to 3 times the productFind the number |
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Answer» A two digit positive integer can be expressed as 10x+y, where x is the tens digit and y is the ones digit. For example, 37 = 3(10)+7. So, 10x+y = 4(x+y) and 10x+y = 3xy 10x+y = 4x+4y 6x = 3y y = 2x Since y = 2x and 10x+y = 3xy, we have 10x+2x=3x(2x) 12x = 6x26x2-12x = 0 6x(x-2) = 0 x = 0 or x = 2 Since x can't be zero, x = 2 y = 2x = 4 The number is 24. |
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| 2118. |
A chord of a circle is equal to the radius of thecircle. Find the angle subtended by the chord ata point on the minor arc and also at a point on themajor arc.2. |
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Answer» how OA=OB=AB |
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| 2119. |
CIRCLES2. A chord of a circle is equal to the radius of thecircle. Find the angle subtended by the chord ata point on the minor arc and also at a point on themajor arc. |
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| 2120. |
CIRCLESA chord of a circle is equal to the radius of thecircle. Find the angle subtended by the chord at2.a point on the minor arc and also at a point on themajor arc018.12.26 20:51 |
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| 2121. |
34.The seventh term of an Arithmetic progressionprogression is four times its secondterm and twelfth term is 2 more than three times of its fourthan three times of its fourth term. Findthe progression. |
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Answer» a7 = 4 × a2 a + 6d = 4 × (a + d) a + 6d = 4a + 4d 6d - 4d = 4a - a 2d = 3a -> ( 1 ) a12 = 2 + 3 × (a4) a + 11d = 2 + 3 × (a + 3d) a + 11d = 2 + 3a + 9d 11d - 9d = 2 + 3a - a 2d = 2 + 2a From eq. ( 1 ) 3a = 2 + 2a 3a - 2a = 2 a = 2-> ( 2 ) Putting value of eq. ( 2 ) in eq. ( 1 ) 2d = 3a2d = 3(2) 2d = 6 d = 6/2 = 3 Hence, the A.P. is a, a+d, a+2d, a+3d..............a+(n-1)d 2, 5, 8, 11..............so on. |
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| 2122. |
Dmmmmmmmamplify the following:) V55 - 6VTS :) V3 - 5/3 - VOF(1) V12- 12-5555 215V12» Eva-1897 sa vi) 17-827-549V7 |
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Answer» ii)2/5V5 - 6/2V5=2(2V5)-6(5V5)/(5V5)(2V5)=4V5-12V5/10(5)=-8V5/50=-8V5/50 |
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| 2123. |
Page No.Date* 5x +1 -3,-14Solve and check |
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| 2124. |
n Page No.:Date: |
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| 2125. |
Simplify V12?ronnie follow |
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| 2126. |
7. EvaluateV12 - 13 |
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Answer» 6/(root(12) - root(3)) = 6/2root(3) - root(3) = 6/root(3) = 2*3/root(3) = 2root(3) = root(12) |
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| 2127. |
Find the 20th term from thè last elll U18. The sum of the 4th and 8th terms of an AP is 24 and the sum of tne oth and 10th terms is44. Find the fist thĹee terms of the AFPIgolany of 5000 and received an increment |
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Answer» a4+a8=24a+3d+a+7d=242a+10d=24. .........1 a6+a10=34a+5d+a+9d=342a+14d=34. .,.......2Subtracting 2 from 12a+14d=342a+10d=24- - -4d=10d=4/10or 2/5Put d= 2/5 in 12a+10×2/5=242a+4=242a=24-42a=20a=10 |
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| 2128. |
Multiply the following5 V6 x 6 V12 |
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Answer» what is the answer of this question |
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| 2129. |
3. Verify that-(-x) = for.130 + 15174. Find the multiplicative inverse of the following(ii)X=- |
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Answer» x=-13/17 is -x=13/17 since, -13/17+14/17=0same equality-13/17+13/17=0 additive inverse of 13/17is -13/17 ,i.e,-(-x)=x x=11/15 is -x=-11/15 since 11/15+(-11/15)=0same equality 11/15+(-11/15)=0 additive inverse of -11/15 is 11/15 or -(-11/15)=,i.e,-(-x) =x ans |
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| 2130. |
0 =Sl +x+ 10 =L + 4+ 17 |
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| 2131. |
Q. 3. The sum of the 4th and 8th terms of an A.P. is 24 and the sum of the 6a and(CBSE 2008, 09, Al)10th term is 44. Find the first three terms of the A.P |
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Answer» A4+a8=24a+3d+a+7d=242a+10d=24. .........1 a6+a10=34a+5d+a+9d=342a+14d=34. .,.......2Subtracting 2 from 12a+14d=342a+10d=24- - -4d=10d=4/10or 2/5Put d= 2/5 in 12a+10×2/5=242a+4=242a=24-42a=20a=10 first term=a=10second term=a+d=10+(2/5)=52/5third term=a+2d=10+4/5=54/5 hit like if you find it useful |
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| 2132. |
Method of compleating square feePAGEDATEgoue2x2_70+6=0DATE |
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| 2133. |
The of a number is 42. Find the number70 is divided by half of the sum of 5 and |
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Answer» Let the number be n Let the number be n Let the number be n the 3/4 of the number is 42 Let the number be n the 3/4 of the number is 42so, n x 3/4 = 42 Let the number be n the 3/4 of the number is 42so, n x 3/4 = 42 3n = 42 x 4 Let the number be n the 3/4 of the number is 42so, n x 3/4 = 42 3n = 42 x 4 n = 168÷3 Let the number be n the 3/4 of the number is 42so, n x 3/4 = 42 3n = 42 x 4 n = 168÷3 n = 56 Let the no. be X3/2 x X=42X=42x2/3X=14x2X=28So, the required no. is 28 28 is the correct answer of the given question 28 is the correct answer of the given question. |
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| 2134. |
HCF of 42 , 70 and 84 |
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Answer» Thank you for your Help |
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| 2135. |
H5892ce8Wirthay writeyour* In which date came onyou accessing to your date of birthLes decorate ilرنگ رمزalate of birth |
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Answer» please send the pic of question again clearly please send the pic of question again clearly we didn't get ur question. Can. u click the photo of questions clearly again. |
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| 2136. |
HOME ASSIGNMENTDate :MathsSubjectñ write fire rationalnumbers betweenasand-2-32) Write Rational numbersequivalent in aParent's SignatureTeacher's SignatureDate: |
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Answer» its very easy answer |
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| 2137. |
Page No.DateDateSolve and check5x +1-3%-142 |
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| 2138. |
Date :PageDatenExpress 3 as National number withnumerator. 20 -21 |
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| 2139. |
Humbers.theow will you show that ( 17 x 1 1 x 2) + (17 × 1 1 x 5) is a composite number?Explain. |
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Answer» (17x11x2) + (17x11x5)= 17*11(2+5)=17*11*7=1309= composite numberA whole number that can be divided evenly by numbers other than 1 or itself is called composite number.Here 1309 is divided by 17,11,5 Thus (17x11x2) + (17x11x5 ) is a composite number. |
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| 2140. |
( \frac { - 1 } { 17 } ) + ( - ) = ( \frac { - 12 } { 5 } ) + ( \frac { - 1 } { 17 } ) |
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Answer» (-1/17)+X=-12/5-1/17X=-12/5-1/17+1/17X=-12/5 |
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| 2141. |
1 17(A) 1(B) 0174(C) 4 |
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Answer» 4 + 4 - 15×1/4 - 17/4 = 8 - 15/4 - 17/4 = 8 - 32/4 = 8 - 8 = 0 |
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| 2142. |
8048. If 2-x+, then x-= :1+(c) 112171317 |
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Answer» hit like if you find it useful |
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| 2143. |
5.x और y का मान ज्ञात कीजिए।111 - 17 = a-b1771+17 |
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| 2144. |
9 Solution of the equation4x +17 13x-27x +1617x 32 3 12 3618is4x +17 13x-2 x 7x x+1618 17x-32 3 12 36可訶韋4(A) x=-4 |
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| 2145. |
\frac { 4 x + 17 } { 18 } - \frac { 13 x - 2 } { 17 x - 32 } + \frac { x } { 3 } = \frac { 7 x } { 12 } - \frac { x + 16 } { 36 } |
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| 2146. |
\left. \begin{array} { l } { \frac { 4 x + 17 } { 18 } - \frac { 13 x - 2 } { 17 x - 32 } + \frac { x } { 3 } = \frac { 7 x } { 12 } - \frac { x + 16 } { 36 } } \\ { \frac { 4 x + 17 } { 17 x - 32 } + \frac { x } { 3 } = \frac { 7 x } { 12 } - \frac { x + 16 } { 36 } } \end{array} \right. |
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| 2147. |
55. The 8th term from end of the AP, - 50, -46,-42....,70 is equal to |
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Answer» In the apa=-50d=-46-(-50)=4hencen=8than=a+(n-1)dan=-50+(8-1)*4an=-50+7*4=-50-28=-78 |
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| 2148. |
Thesumofthe4thand8thtermsofanAPis24andthesumofthe6thand10thterm44. Find the first three terms of the AP |
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| 2149. |
2 Find7 1724 36-3 7n)o) -2-6J. Find the prodact |
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Answer» i) 7/24 - 17/36 = 21-34/72 = -13/72 thanks alot |
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| 2150. |
4x +17 13x-2 x x+1618 17x-32 3 12 36(A) 44(D)χ-4 |
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