Math questions

1. If (x + y + z) = 23 and x2 + y2 + z2 = 179, then find the value of (xy + yz + zx).
यदि (x + y + z) = 23 और x2 + y2 + z2 = 179है , तो (xy + yz + zx) का मान ज्ञात कीजिए।
(SSC SELECTION POST XII HIGHER SECONDARY LEVEL)
A) 225
B) 280
C) 175
D) 350
𝒂 𝒃 𝒄 𝒃 𝒄 𝒂 𝒂𝟐 𝒃𝟐 𝒄𝟐
2. If + + = 𝟏𝟏 and + + = 8 then find the value of + + ?
𝒃 𝒄 𝒂 𝒂 𝒃 𝒄 𝒃𝟐 𝒄𝟐 𝒂𝟐

𝒂 𝒃 𝒄 𝒃 𝒄 𝒂 𝒂𝟐 𝒃𝟐 𝒄𝟐
;fn + + = 𝟏𝟏 vkSj + + = 8 gS] rks + + dk eku Kkr dhft,A RRB NTPC 2021
𝒃 𝒄 𝒂 𝒂 𝒃 𝒄 𝒃𝟐 𝒄𝟐 𝒂𝟐

[A]105 [B] 19
[C]137 [D] 75
3. If (a + b + c) = 17, and + + (a2 b2
= 115, find the value of c2)
(a + b)2 + (b + c)2 + (c + a)2.
;fn (a+b+c) = 17, vkSj (a2 + b2 + c2) = 115, rks (a+b)2 + (b+c)2+(c+a)2 dk eku Kkr dhft,A
(SSC CGL PRE 2023)

(a) 402 (b) 404 (c) 408 (d) 394
4. If p = 8.15, q = 9.06 and r = −17.21, then the value of p3+ q3+ r3− 3pqr is:
;fn p = 8.15, q = 9.06 vkSj r = −17.21 gS rks p3+ q3+ r3− 3pqr dk eku D;k gksxk\
(SSC CGL PRE 2022)
(a) –3.81
(b) –5.62
(c) 4.75
(d) 0
(𝒙−𝟐𝟎)𝟑 +(𝒚−𝟒𝟎)𝟑 +(𝒛−𝟔𝟎)𝟑
5. If x+y+z=120, then find ?
(𝒙−𝟐𝟎)(𝒚−𝟒𝟎)(𝒛−𝟔𝟎)
(𝒙−𝟐𝟎)𝟑 +(𝒚−𝟒𝟎)𝟑 +(𝒛−𝟔𝟎)𝟑
यदि x+y+z=120 है , तो ? (SSC CHSL 2023)
(𝒙−𝟐𝟎)(𝒚−𝟒𝟎)(𝒛−𝟔𝟎)

(a) 3
(b) 0
(c) 1
(d) 2
𝟒𝒙𝟐 𝒚𝟐 𝟐𝟕𝒛𝟐
6. If 𝟐𝒙 − 𝒚 + 𝟑𝒛 = 𝟎, then find the value of − + ?
𝒚𝒛 𝟐𝒙𝒛 𝟐𝒙𝒚
𝟒𝒙𝟐 𝒚𝟐 𝟐𝟕𝒛𝟐
यदि 𝟐𝒙 − 𝒚 + 𝟑𝒛 = 𝟎 है , तो − + का मान ज्ञात कीजिये?
𝒚𝒛 𝟐𝒙𝒛 𝟐𝒙𝒚
A) -9
B) 18
C) -3
D) 9
7. If a + b + c = 12 and ab + bc + ca = 22, then what is the value of a³ + b³ + c³ – 3abc?
;fn a + b + c = 12 and ab + bc + ca = 22, rks a³ + b³ + c³ – 3abc dk eku D;k gS\
(a) 1052
(b) 936
(c) 924
Watch Video Solutions:- https://youtu.be/_Xs1kLxHrsk?si=vWTdPJsce8-SCdRk