Home
Class 12
MATHS
If a, b,c are in A.P., then the value of...

If a, b,c are in A.P., then the value of the determinant `|(x+2,x+3,x+2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c)|` is :

A

0

B

1

C

x

D

2x

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|5 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are A.P then the value of the determinant |(x+2,x+3,x+2a),(x+3,x+4,x+2b),(x+4,x+5,x+2c)|

If a,b,c are in A.P. then the determinant {:|( x+2,x+3,x+2a),( x+3,x+4,x+2b),( x+4,x+5,x+2c)|:} is

If a, b and c are in A.P., then the value of |(x+2,x+3,x+a),(x+4,x+5,x+b),(x+6,x+7,x+c)| is

If a, b and c are in A.P., then the value of |(x+2, x+3, x+a),(x+4, x+5, x+b),(x+6, x+7, x+c)| is

Given a,b,c are in A.P. Then determinant : |(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)| in its simplified form is :

If a, b, c are different, then value of x satisfying the equation |{:( 0 , x^(2) - a , x^(3) - b) , (x^(2) + a , 0 , x^(2) + c), (x^(4) + b , x- c , 0):}|=0 is

Find the value of x for which |(2,3),(4,5)|=|(x,3),(2x,5)|

Using Properties of determinants, prove that {:|(x+y,x,x),(5x+4y,4x,2x),(10x+8y,8x,3x)|=x^3

The value of p is x, 2x+p and 3x+6 are in A.P.

|(x+4, 2x, 2x),(2x, x +4, 2x),(2x, 2x ,x+4)| = (5x + 4)(4 - x)^(2) .