Question

Answer questions 14 to 26 for the brainliest answer and 100 points!!! It is a mathematical challenge for you all. ARE YOU UP FOR IT!!! GO BRAINS!!!

Answer 1

Answer:

solved below

Step-by-step explanation:

Q14.

{( -8 ) ∧4.2∧8   }∧-1 =  {( 8 ) ∧4.2∧8   }∧-1 = 2∧-4 = 1/16 choose (1)

Q15.

ax + by+ cz - (2x-3y+7z) = 3x -5y-8z

(a-2)x +(b+3)y +(c-7)z = 3x -5y-8z

a = 5 , b = -8 , c= -1

ax + by+ cz = 5x -8y-z

choose (3)

Q16.

the degree = 5

choose (1)

Q17.

x²- 4 - (x-2 ) ( x +2 ) =0

choose (1)

Q18.

1/(a-b)(a-c) + 1/(b-c)(b-a) + 1/(c-a)(c-b) = 1/(a-b){ 1/a-c - 1/b-c} + 1/(c-a)(c-b)

= 1/(a-b){( b-a)/(a-c)(b-c)} + 1/(c-a)(c-b) = {-1/(a-c)(b-c)} + 1/(c-a)(c-b)

= {-1/(c-a)(c-b)} + 1/(c-a)(c-b) = 0

choose (1)

Q19.

(x + 3iy   )/  (  2+iy ) = 1-i

x + 3iy   = (2+y) + i ( y-2) , y = 5 , x = 7

7x - 5y = 7² -5² = 24

choose (1)

Q20.

 sum i∧n from 1 to 13 = i

        sumi∧n-1 from 1 to 13 = 1

total sum = 1 + i

choose (1)

Q21.

z = 2 - √3i

z∧4 - 4z² +8z +36 = z²(z²-4) + 8z +36 = (1-4√3i)(-1)(3+4√3i) + 16 -8√3i +36

=  (4√3i-1)(4√3i +3) + 16 -8√3i +36

= -51 + 8√3i +52 -8√3i = 52 - 51 = 1

choose (3)

Q22.

z2 = 1-i , z1 = 1+i

z2/z1 = 1-i/1+i = (1-i)²/2 = -2i/2 = -i

choose (1)

Q23.

choose (1) and ( 2 ) , are correct

Q24.

( 4-3i )³ =  ( 4-3i )²  (4-3i   ) = ( 7-24i )  (4-3i   ) = -44 -117i

the inverse additive = 44 +117i

choose (2)

Q25. sinA : cosA = 3 :4

sinA = 3/4 cosA

substitute in cos²A+sin²A = 1

25/16 cos²A = 1

cosA = ±4/5 , sinA = ±3/5

secA - cosecA = ±5( 1/4  - 1/3) = ± 5/12

choose (1)

Q26. same as Q25.

secA + cosecA = ±5( 1/4 + 1/3) = ± 35/12

choose (1)

Answer 2

Step-by-step explanation:

Here,

1/( a - b) ( a - c) + 1/ ( b - c ) ( b - a) + 1/ ( c - a) ( c - b)

Then,

1 / ( a - b ) ( a - c) - 1 /( b - c ) ( a - b) - 1/ ( a - c) ( b - c)

= (b - c - c + c - a + b) / ( a - b) ( a - c) ( b - c)

= 0 / ( a- b) ( a-c) ( b - c)

= 0 answer