1. No category

GmGmwm g‡Wj †U÷ 2015
D”PZi MwYZ (m„Rbkxj)
9-14 Aa¨vq
c~Y©gvb- 30
mgq-1 N›Uv
cÖ‡Z¨KwefvM †_‡K Kgc‡ÿ 1wU K‡i †gvU 3wU cÖ‡kœi DËi `vI|
L wefvM
K wefvM
4| ABCD GKwU mvgvšÍwiK hvi KY©Øq AC I BD.
1| a = xyp-1, b = xyq-1, c = xyr-1
K. ⃗⃗⃗⃗⃗
𝐴𝐶 I ⃗⃗⃗⃗⃗⃗
𝐵𝐷 †f±iØq‡K ⃗⃗⃗⃗⃗
𝐴𝐵 I ⃗⃗⃗⃗⃗
𝐴𝐷 †f±i؇qi gva¨‡g cÖKvk Ki| 2
K. p+q+r =3 n‡j abc = KZ?
2
L. †`LvI ‡h, a q-r. b r-p. c p-q =1
4
M. p+q+r =3, pq+qr+rp = 3 n‡j a p+1. b q+1. c r+1 = KZ?
4
2| (1 +
𝑥2
4
K. (1 +
)
4
M. AB I CD evûi ga¨we›`y h_vµ‡g P I Q n‡j cÖgvb Ki‡h APCQ GKwU
mvgvšÍwiK|
4
5| GKwU †jvnvi †Mvj‡Ki wfZ‡ii duvcv As‡ki e¨vmva© 6.5 †m. wg, I ‡jvnvi
†ea 2 †m.wg|
6
𝑥2
L. ‡f±i c×wZ‡Z cÖgvb Ki‡h, cÖ`Ë KY©Øq ci¯úi †K mgwØLwÛZ K‡i| 4
K. †Mvj‡Ki wfZ‡ii duvcv As‡ki c„ôZ‡ji †ÿÎdj I AvqZb wbY©q Ki| 2
3
) ‡K we¯Í…Z Ki|
L. cÖ`Ë wØc`x ivwk‡K c¨vm‡K‡ji wÎfzR m~‡Îi mvnv‡h¨ we¯Í…Z Ki|
2
4
L. H †Mvj‡K e¨en„Z †jvnv‡K Mwj‡q GKwU wb‡iU †Mvj‡K cwiYZ Kiv nj|
Zvi e¨vm KZ?
4
M. cÖ`Ë wØc`x ivwk‡K wØc`x Dccv‡`¨i mvnv‡h¨ x4 ch©šÍ we¯Í…wZ K‡i x3 Gi
mnM †ei Ki|
4
M. ‡MvjKwU hw` GKwU wmwjÛv‡ii g‡a¨ wVKfv‡e Gu‡U hvq,
wmwjÛviwUi AbwaK…Z AskwUi AvqZb KZ?
3| A(1,3), B(-1,-1) I C(3,-1) wZbwU we›`y|
6| 1 wU gy`ªv I 1 wU Q°v GKevi wb‡ÿc Kiv nj|
K. A I B we›`y؇qi ga¨eZx© `~iZ¡ wbY©q Ki|
2
L. AB I AC ‡iLvi Xvj wbY©q Ki Ges A,B I C we›`y wZbwU mg‡iL wKbv
e¨vL¨v Ki|
4
M. A,B I C we›`y Øviv MwVZ wÎfz‡Ri Aa©cwimxgv wbY©q Ki|
4
K. ‰`e cixÿv Kx?
Zvn‡j
4
2
L. m¤¢ve¨ NUbvi Probability tree A•KY Ki Ges bgybv‡ÿÎwU wjL| 4
M. bgybv‡ÿÎ n‡Z †nW I †Rvo msL¨vi m¤¢vebvi gvb wbY©q Ki Ges †Uj I 3
Øviv wefvR¨ msL¨vi m¤¢vebv KZ?
4