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.
| 61301. |
Draw an angle of measure 147° and construct its bisector. |
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Answer» Step 1. Draw a line OM.Step 2.using protractor and center 'o' draw an angle MON =147°.Step 3.Now taking 'o' as center and any radius draw a arc that intersects 'OM' and 'ON' at P and Q.Step 4. now take P and Q as centers and radius more than half of PQ, draw arcs.Step 5. both the arcs intersect at 'R'Step 6. join 'OR' and produce it.Step 7. 'OR' is the required bisector of angle MON |
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| 61302. |
P(x) = 2x square - 3x square + 2x - 3a+9 when divided by (x+1) leaves the remainder 16.Find the value of 'a'. Also find the remainder when p(x) is divided by(x+2). |
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| 61303. |
SOLVE IF YOU CAN| 수 | = | 23716-1471019|-|? |
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Answer» here 3*2=6+1=75*4=20+3=237*6=42+5=479*8=72+7=7910*9=90+9=99first and second column is multiplied and added by odd numbers Here 3*2+1=7 5*4+3=23 7*6+5=47 9*8+7=79 10*9+9=99,In the question first 1+And second 1+2=3And third 3+2=5 all word in 2 difrences |
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| 61304. |
147.Write direction cosine of x -axis. |
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| 61305. |
EXERCISE 2.3) by the polynomial g(x) and find the quotient and remaind. Divide the polynomial p(rin each of the following: |
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| 61306. |
6. Show that the points P,3), (6, - 2) and R(-3, 4) are collinear. |
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Answer» p=(-3/2,3), q=(6,-2), R=(-3,4) y 3 points. Y=1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]=0; 1/2[-3/2(-2-4)+6(4-3)+(-3)[3+2]=0;. 1/2[-3/2(-6)+6(1)-3(5)=0; 1/2[9+6-15]=1/2[15-15]=0; if the slope of PQ=QR=PR then the points lie in a same plane or are collinear |
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| 61307. |
22. If the points P(-3, 9), Q(a, b) and R(4,-5) are collinear and a+bCBSE 20144(0 -. B(2, 1) and C(0, 3. Alsofind the values of a and b. |
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Answer» thnx |
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| 61308. |
Find the ratio in which point T(-1, 6)divides the line segment joining the pointsP(-3, 10) and Q(6, -8). |
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| 61309. |
(01 +x)=x |
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Answer» x=4/5(X+10)5x=4x+40x=40 |
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| 61310. |
ignmentDivide R 6500 in the ratio 2 : 3 between Arti and BhartĂ |
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Answer» Let the ratio be x so Arti gets 2x part andBharti gets 3x parts.According to question, 3x + 2x = 65005x = 6500x = 1300 So, Arti will get 2x = 2600Bharti will get 3x = 3900 |
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| 61311. |
1111,DateSaathiL5 find the lowest naturaldivided byno which whenIS 2025 and us leavesremainder 8 in each case |
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Answer» 5 is your write answers Your correct answer is 5 |
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| 61312. |
12.2. The numbers between 200 and 300,which when divided by 6, 8 or 9leaves remainder 8 in each case, are(a) 216, 288(c) 210, 240(b) 224, 296(d) 224, 28813 |
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Answer» Consider the numbers such that when each number is divided by 6, 8 and 9, it leaves 8 as remainder in each case. LCM of 6, 8, 9 is 72.The required numbers are 8 + 72*n where n=1,2,3,..... and no.s are between 200 and 300. So, possible values of n are 3 and 4. Numbers are 224 and 296. (b) is correct option number s are 224&296 |
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| 61313. |
3^2n when divided by 8, leaves the remainder 1. |
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Answer» 3²ⁿ = 9ⁿ = (8+1)ⁿ so, the binomial expansion of this will always contain a factor of 8 , in the form of 8ⁿ .. but the last term will be 1 so, on dividing it with 8 , 1 will always be there as a reminder. |
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| 61314. |
√1029/147 |
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| 61315. |
13. The polynomials (2x+2-ax+2) and (2x5-3x2-3x +a) when divide Rby (x-2) leave the same remainder. Find the value of a. |
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| 61316. |
Find the inclination of the line whose slope is 1.(A) 20°(C) 45°(B) 30°(D) 90° |
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| 61317. |
nts P, Q, R and S divide the line segment joining the points A(1, 2)l B(6, 7) in five equal parts. Find the coordinates of the points P, QR.[CBSE 2014] |
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| 61318. |
(4) The slope of a line passing through the points P(-3,5) and1S6), (C) |
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Answer» Correct option: BReason: Slope = (y2-y1)/(x2-x1)= (-1-5)/(4+3)= -6/7 Please hit the like button if this helped you out |
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| 61319. |
EXAMPLE2 In parallelogram ABCD, AB- 10cm. The altitudes corresponding to the sides ABandAD are respectively 7 cn and 8 cm. Find AD. |
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Answer» This is grade 9 question |
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| 61320. |
Construction |
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Answer» Construction is the process of constructing a building or infrastructure. Construction differs from manufacturing in that manufacturing typically involves mass production of similar items without a designated purchaser, while construction typically takes place on location for a known client |
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| 61321. |
BD and CE are median of ∆ ABC. Prove that:area( ∆GBC)area(AEGD). |
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Answer» (i) Since, BD and CE are medians. AD = DC AE = BE Hence, by converse of Basic Proportionality theorem, ED || BC In ΔEGD and ΔCGB, ∠DEG = ∠GCB (alternate angles) ∠EGD = ∠BGC (Vertically opposite angles) ΔEGD ~ ΔCGB (AA similarity) |
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| 61322. |
xĂ28205. Iffind the value of x.189-27,'(1) 5 (2) 10 (3) 12 (4) 17 |
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Answer» 28x= 20*189/2728x= 140x= 140/80x= 1.75 |
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| 61323. |
find the smallest number which leaves remainder 8 and 12 when divided bi 28 and 32 respectively? with process |
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Answer» why p=8n-1 and q=7n-1 |
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| 61324. |
627÷1886526 |
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Answer» 627÷1886526=0.000332 |
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| 61325. |
andaatonalcumbers berween 5 and |
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Answer» rational number between 3 and 4 are3.1 , 3.2, 3.3, 3.4, 3.5, 3.6 |
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| 61326. |
(3) If(5v/2 +3. /3) _ (G/2-7, /3) = ay2 + bă/3, then find a and b. |
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Answer» (5√2 + 3√3) - ( 6√2 - 7√3) = a√2 + b√3 (5√2 - 6√2) + (3√3 + 10√3) = a√2 + b√3 -√2 + 4√2 = a√2 + b√3 Comparing both sidesa = -1 and b = 4 |
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| 61327. |
Divide R 6327 between Gita and Sita in the ratio 4: 5. |
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Answer» 4x + 5x = 6327 9x = 6327 x = 6327 / 9 x = 703 4 × 703 = 28125× 703 = 3515 Gita gets rs. 2812 and Sita gets rs. 3515 Like my answer if you find it useful! |
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| 61328. |
The point(s) on the curve y + 3the curve pol + ZP-12y where the tangent is vertical is (are)(42)2163) (0,0)3)(0, 0)4Thatwhich is parallel to the r-axis in |
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Answer» 2) is correct answer 2) is the correct answer of the following |
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| 61329. |
10.(i) Determine the point on the curve y=3x2+4 at which the tangent is perpendicular to aline whoseslope is -6(ii) Find the point on the curve y = x2-4x + 3, the normal at which is parallel to the line whoseslope 1S. |
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Answer» 1.slope of tangent=6also slope=6x6x=6x=1then y=72.slope of tangent=-2also slope=2x-42x-4=-22x=2x=1then y=0 |
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| 61330. |
3. Draw any closed curve and shade its interiorpart. |
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| 61331. |
There were 8725 people watching a match in a stadium. During a b2658 people remained in the stadium. How many people went out?What numher uh |
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Answer» People went out=8725 - 2658 = 6067 |
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| 61332. |
5. In an AP a, a, a,.... an, if aa/a=2/3 then find ad/ag.024 |
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| 61333. |
Find the 20term and the sum of 20 terms of the series:2×4+4×6+6×8+ |
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| 61334. |
IF x 412.210 22 -4 |411020 find a |
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Answer» Please express your question in Math instead of English. For example,56+78, orx^2+5x+6. 56+78, orx^2+5x+6. |
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| 61335. |
if there are 390 people in 13 teams,how many people will be there in5 teams? |
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Answer» In 13 teams there are 390 peopleIn 1 team there are 390/13 = 30 peopleSo, Im 5 team there are 30× 5 = 150 people |
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| 61336. |
tt mler numbe627 berween Gita and Sita in the ratio 4: s, |
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Answer» 4x + 5x = 6327 9x = 6327 x = 6327 / 9 x = 703 4 × 703 = 28125× 703 = 3515 Gita gets rs. 2812 and Sita gets rs. 3515 |
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| 61337. |
s. insert cight zational numibers berween x and x l, wherex |
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Answer» x=-5/11 and |x|=5/11hence 8 rational number =-4/11,-3/11,-2/11,-1/11,0,1/11,2/11 |
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| 61338. |
find the sum of all multiples of 8 berween 100 to 500 |
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| 61339. |
1. Find the area inclosed by the curve ay2 3 (2a -x) |
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| 61340. |
Who are the children compared to in the poem? |
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Answer» sinβ-cosβ= |
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| 61341. |
2) 2835paI am seventh in the queue fromeither end. How many people arthere in the queue?2) 114) 141) 103) 13 |
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Answer» (c) 13 Explanation:There are 6 people to either side. Therefore, total number of people = 6 + 1 + 6 = 13 Thirteen people are there in queue |
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| 61342. |
of a teapenium are 15 m und s m and the distsnce berween them is 12ihat is the anes of the trapeium? |
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| 61343. |
11. Find the smallest number which when divided by 28 and 32 leavesremainders 8 and 12 respectively. |
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Answer» 10 hoga agar reminder 8 or 12 ho to Given that the smallest number when divided by 28 and 32 leaves remainder 8 and 12 respectively. 28 - 8 = 20 and 32 - 12 = 20 are divisible by the required numbers. Therefore the required number will be 20 less than the LCM of 28 and 32. Prime factorization of 28 = 2 * 2 * 7 Prime factorization of 32 = 2 * 2 * 2 * 2 * 2 LCM(28,32) = 2 * 2 * 2 * 2 * 2 * 7 = 224. Therefore the required smallest number = 224 - 20 = 204. Verification: 204/28 = 28 * 7 = 196. = 204 - 196 = 8 204/32 = 32 * 6 = 192 = 204 - 192 = 12. |
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| 61344. |
The iilon c a peson is Rs 3,09000Ma iyst glas .He neves 伍) an increased Rs 10,000 tohis npah |
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| 61345. |
Bx. 13. Fiad the greatest number which on dividing 1657 and 2037 leaves remainders6 and 5 respectively |
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Answer» Required number = H.C.F. of (1657 - 6) and (2037 - 5) = H.C.F. of 1651 and 2032 = 127 |
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| 61346. |
19. Find the smallest number which leaves remainders 8 and 12 when divided by 28 and 327 respectively |
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| 61347. |
HOTS Find the greatest number which ondividing 1657 and 2037 leaves remainders6 and 5, respectivelyCBSE 2010, 08 |
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Answer» Required number = H.C.F. of (1657 - 6) and (2037 - 5) = H.C.F. of 1651 and 2032 = 127 |
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| 61348. |
2. The radii of two circles are 12 cm and 5 cm. Find the diameter of a circlehavinganesopsth sun of the areas of the two circles (in cm). |
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Answer» R=12cmr=5 cmradius of new circle =Rarea of new circle =sum of areas of both circles πR^2=144π πr^2=25π required area is = 144π+ 25π πR°^2 = 16πR°^2=169R°=13cm hit like if you find it useful |
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| 61349. |
ake π 3.14)The circumference of a circle is 31.4 cm. Find the(Take 3.14)radius and the areaus aarea of th12. |
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| 61350. |
ose the correct option and give justificetionnt O, the length of the tangent to a circle is 24 cm and the distance of O fromis 25 cm. The radius of the circle isthrom a point(B) 12 cm |
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Answer» Let O be the centre of the circle. Given that, OQ = 25cm and PQ = 24 cm As the radius is perpendicular to the tangent at the point of contact, Therefore, OP ⊥ PQ Applying Pythagoras theorem in ΔOPQ, we obtain OP^2 + PQ^2 = OQ^2 OP^2 + 24^2 = 25^2 OP^2 = 625 − 576 OP^2 = 49 OP = 7 cm |
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