Home
Class 9
MATHS
(a x+b y)^2+(b x-a y)^2...

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

Text Solution

Verified by Experts

The correct Answer is:
`(a^2+b^2)(x^2+y^2)`

Given expression `=a^2x^2+b^2y^2+b^2 x^2+a^2y^2`
`=(a^2x^2+b^2x^2)+(a^2y^2+b^2y^2)` .
Promotional Banner

Topper's Solved these Questions

  • FACTORISATION OF POLYNOMIALS

    RS AGGARWAL|Exercise Exercise 3B|40 Videos
  • FACTORISATION OF POLYNOMIALS

    RS AGGARWAL|Exercise Exercise 3C|66 Videos
  • FACTORISATION OF POLYNOMIALS

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|22 Videos
  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|22 Videos
  • GEOMETRICAL CONSTRUCTIONS

    RS AGGARWAL|Exercise Exercise 13|2 Videos

Similar Questions

Explore conceptually related problems

Solve for 'x' and 'y': (a -b) x + (a + b) y =a^2 - b^2 - 2ab (a + b) (x + y) = a ^2+ b^2

Solve the following system of linear equations. : ( a - b) x + (a + b ) y = a ^(2) - 2ab - b ^(2) , (a + b ) (x + y ) = a ^(2) + b ^(2) .

The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to a. |b x+a y c x+b y b^(prime)x+a ' y c^(prime)x+b ' y| b. |a x+b y b x+c y a^(prime)x+b ' y b ' x+c ' y| c. |b x+c y a x+b y b^(prime)x+c ' y a^(prime)x+b ' y| d. |a x+b y b x+c y a^(prime)x+b ' y b^(prime)x+c ' y|

Solve the following pair of linear equations: (i) p x+q y=p q ;" "q x p y=p+q (ii) a x+b y=c ;" "b x+a y=1+c (iii) x/a-y/b=0 ; a x+b y=a^2+b^2 (iv) (a-b)x+(a+b)y=a^2-2a b-b^2; (a+b)(x+y)=a^2+b^2 (v) 152 x 378 y= 74 ;" " 378

Without expanding, show that "Delta"=|(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(c-z)^2|=2(a-b)(b-c)(c-a)(x-y)(y-z)(z-x)

If a, b,c> 0 and x,y,z in R then the determinant: |((a^x+a^-x)^2,(a^x-a^-x)^2,1),((b^y+b^-y)^2,(b^y-b^-y)^2,1),((c^z+c^-z)^2,(c^z-c^-z)^2,1)| is equal to

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y