Home
Class 12
MATHS
If Delta=|{:(-x,a,b),(b,-x,a),(a,b,-x):}...

If `Delta=|{:(-x,a,b),(b,-x,a),(a,b,-x):}|` then a factor of `Delta` is -

A

a+b+x

B

`x^2-(a-b)x+a^2+b^2+ab`

C

`x^2+(a+b)x+a^2+b^2-ab`

D

`a+b-x`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Integer Answer Type )|5 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Matrix Match Type)|2 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2C|37 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

If Delta_1=|[x, b, b],[ a, x, b],[ a, a, x]| a n d Delta_2=|[x, b],[ a, x]| are the given determinants, then Delta_1=3(Delta_2)^2 b. d/(dx)(Delta_1)=3Delta_2 c. d/(dx)(Delta_1)=3(Delta_2)^2 d. Delta_1=3(Delta_2)^ (3//2)

The base of an isosceles triangle ABC is the line segment joining the points B(a+b,b-a)andC(a-b,a+b) , then the coordinate of A is -

The points (-a ,-b),(a , b),(a^2,a b) are (a) vertices of an equilateral triangle (b) vertices of a right angled triangle (c) vertices of an isosceles triangle (d) collinear

If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is a. 0 b. -1 c. 1 d. 2

If p(x) be a polynomial such that p(-a/b)=0 , then one of the factor of p(x) is

In a triangle ABC, if a =2x, b=2y and C=120^(@), then the area of the triangle is-

the determinant Delta=|[a^2+x, ab, ac] , [ab, b^2+x, bc] , [ac, bc, c^2+x]| is divisible by

Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2a^2, 3x^3+6a^2x, 3x^4+12a^2x^2+2a^4]| then (a) Delta'(x) = 0 (b) Delta(x) is independent of x (c) int^1Delta(x)dx = 4a^6 (d) y=Delta(x) is a straight line

Show that lines. (x-a+d)/( alpha- delta)=(y-a)/( alpha)=(z-a-d)/( alpha+ delta) and (x-b+c)/( beta- lambda)=(y-b)/(beta)=(z-b-c)/( beta + lambda) are coplanar.

Two sides of a triangle are the lines (a+b)x+(a-b)y-2ab=0 and (a-b)x+(a+b)y-2ab=0 . If the triangle is isosceles and the third side passes through point (b-a,a-b) then the equation of third side can be :