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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.
| 23301. |
State and prove basic proportionlity theorem |
| Answer» Given :\xa0In {tex}\\triangle A B C{/tex}, DE || BC and intersects AB in D and AC in E.\xa0Prove that :\xa0{tex}\\frac{AD}{DB} = \\frac{AE}{EC}{/tex}Construction:\xa0Join BC, CD and draw EF {tex}\\perp{/tex} BA and DG {tex}\\perp{/tex} CA. Now from the given figure we have,EF {tex}\\perp{/tex} BA (Construction)EF is the height of ∆ADE and ∆DBE (Definition of perpendicular)Area({tex}\\triangle{/tex}ADE) ={tex}\\frac{AD.EF}{2}{/tex} .....(1)Area({tex}\\triangle{/tex}DBE) = {tex}\\frac{DB.EF}{2}{/tex} ....(2)Divide the two equations we have{tex}\\frac{Area \\triangle ADE}{Area \\triangle DBE} = \\frac{AD}{DB}{/tex} .....(3){tex}\\frac{Area \\triangle ADE}{Area \\triangle DEC} = \\frac{AE}{EC}{/tex} .....(4)Therefore, {tex}\\triangle \\mathrm{DBE} \\sim \\triangle \\mathrm{DEC}{/tex} (Both the ∆s are on the same base and\xa0between the same || lines).....(5)Area({tex}\\triangle{/tex}DBE) = Area({tex}\\triangle{/tex}DEC) (If the two triangles are similar their\xa0areas are equal){tex}\\frac{AD}{DB} = \\frac{AE}{EC}{/tex}\xa0[from equation 3,4 and 5]Hence proved. | |
| 23302. |
I think yes keshav... |
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| 23303. |
I m not getting the person of surface area and volume |
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| 23304. |
The sum of n,2n,3n terms of an Ap.are S1,S2,S3 prove that S3 =3(S2-S1) give answer immeditely |
| 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} | |
| 23305. |
Modal pepar |
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| 23306. |
Prove That Sin^2X + Cos^2X = 1 |
| Answer» Sin2 $= p2/h2Cos2 $=b2/h2=) sin2 $ + cos2 $= p2/h2 + b2/h2= ( p2 + b2)/ h2 = h2/h2 = 1Hence proved | |
| 23307. |
what is square |
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Answer» A llgm whose all sides are equal and an angle measures 90 degree is SQUARE U need 2 sit in class 2 |
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| 23308. |
Sir can i get to know how a+b a |
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| 23309. |
Find the value of p if (-3,5) divide |
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| 23310. |
Prove that 3is rational number |
| Answer» 3 is not to be proved irrational basically √3 is to be proved irrational | |
| 23311. |
if 3 coins are tossed simultaneously then find the probability of getting at least 2 heads |
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Answer» (Hhh), (ttt), (tth), (hht), (hth), (tht), (thh), (htt) so total event 8and at least two heads in 4so =1/2 1/2 |
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| 23312. |
Mean |
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| 23313. |
TrigonometricRatio |
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| 23314. |
Which term of AP 2,7,12,17......is137. |
| Answer» 28th of an AP is 137 | |
| 23315. |
Koi girl whatsapp talk mai interested ho toh can we talk on whatsapp |
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| 23316. |
Trhrioqljdhej |
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| 23317. |
Is all questions are come from ncert exampler in board exam? |
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| 23318. |
show that 12n cannot end with digit 0 or 5 for any natural number n |
| Answer» 12n =(2*2*3)n here the factors are other than 2n and 5n therefore 12n cannot end with 0 or 5 | |
| 23319. |
Use euclids division algorithm to find if th following pair of numbers is co prime: 121,573 |
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| 23320. |
Cbse 10 time table 2018 |
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Answer» Not released yet Not yet announced |
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| 23321. |
Class 10 syllabus 2017 18 |
| Answer» Iss app me he diya hua bhaiiii mere........ | |
| 23322. |
SecA+tanA=2x or 1/2xGiven. SecA x+1/4x |
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| 23323. |
E is a point on the |
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| 23324. |
Prove that cosec thita -sin thita ×sec thita -cos thita ×tan thita +cot thita =1 |
| Answer» (1/sin-sin²/sin) (1/cos-cos²/cos) (tan²/tan+tan/tan)=(cos/sin*sin²/cos) (sec²/tan)=cos*sin *1/cos*cos/sin1 | |
| 23325. |
3x-4y=-6 ; 3x-y=9 solve and make on a graph paper |
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| 23326. |
5+6-6/6+32 |
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Answer» Answer is 42 42 42 42 |
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| 23327. |
Why are not papers available without internet transaction |
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| 23328. |
sahil so mean of you |
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| 23329. |
what is metric units |
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Answer» If u are talking about trigonometric unit then i can told u Soory |
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| 23330. |
2×100 |
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| 23331. |
ANJU u have to tell me plzz |
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| 23332. |
how many of you are feeling nervous for board exams |
| Answer» Nervous hokar kam mahi Chala ha | |
| 23333. |
RIMSHA if u r online then plzz reply ha |
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| 23334. |
RIMSHA plzz come yrr sryy for late |
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| 23335. |
Is anyone know about 0^0. ??? |
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| 23336. |
Hlo RIMSHA hw r u dear |
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| 23337. |
If tan A = cot B , prove that A + B = 90*. |
| Answer» TanA=cotBTanA= tan(90-B)A+B = 90 | |
| 23338. |
Find the lcm of 12,18and 24 by factorisation method |
| Answer» The LCM of 12,18and24 is 144. | |
| 23339. |
Board paper date |
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Answer» From 9 march I think it is on 26 Feb...not sure!! Pta nhi but may be in march |
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| 23340. |
In what ratio does the line x-y-2=0 Divide the line segment joining the point A(3,-1) and B(8,9)? |
| Answer» 1:2or2:3 | |
| 23341. |
What is tan30° |
| Answer» One by root three | |
| 23342. |
Hii tanmay |
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| 23343. |
When are board exam starting of class 10th cbse |
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Answer» In first week of March March |
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| 23344. |
If the 17 term of f A.P exceeds its 10 term by 7 . Find its common difference |
| Answer» 1 | |
| 23345. |
Find the value of x for which point ( -5,1) (4,2) are co- linear |
| Answer» 4,2 | |
| 23346. |
00 |
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Answer» 00=11 00 |
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| 23347. |
Payal apna whatspp no. Dedo |
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| 23348. |
Sec2.cosec2x=what |
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| 23349. |
Sin^2 theta +cos^2thita |
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| 23350. |
q no .7 of chap 7 |
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