Home
Class 12
MATHS
Let D(x)=|{:(x^2+4x-3, 2x+4,13),(2x^2+5x...

Let `D(x)=|{:(x^2+4x-3, 2x+4,13),(2x^2+5x-9,4x+5,26),(8x^2-16x+1, 16x-6, 104):}|=alphax^3+betax^2 + gammax+delta` then :

A

`alpha+beta=0`

B

`beta+gamma=0`

C

`alpha+beta+gamma+delta=0`

D

`alpha + beta+ gamma =0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-3:COMPREHENSION TYPE PROBLEMS|3 Videos
  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos
  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos
  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos
  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

Similar Questions

Explore conceptually related problems

If (x)=|[x^2+4x-3 2x+4 13] [2x^2+5x-9 4x+5 26] [ 8x^2-6x+1 16 x-6 104]|=a x^3+b x^2+c x+d , then a=3 b. b=0 c. c=0 d. none of these

If Delta (x) =|{:(x^(2)-5x+3,2x-5,3),(3x^(2)+x+4,6x+1,9),(7x^(2)-6x+9,14x-6,21):}| = ax^(3) +bx^(2)+cx+d , then

Solve for x, |{:(4x,6x+2,8x+1),(6x+2,9x+3,12x),(8x+1,12x,16x+2):}| =0

Solve for x |x-2 , 2x-3, 3x-4,x-4 ,2x-9, 3x-16 ,x-8, 2x-27, 3x-64|=0.

Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

Solve: (6x^2+\ 13 x-4)/(2x+5)=(12 x^2+5x-2)/(4x+3)

Simplify: (x^2-3x+2)(5x-2)-\ (3x^2+4x-5)\ (2x-1)

Simplify: 9x^4(2x^3-5x^4)xx5x^6(x^4-3x^2)

Factorise : 3x^5 - 6x^4 - 2x^3 + 4x^2 + x-2