1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4a2,{"@context":"https://schema.org","@type":"QAPage","name":"If ( a^2 + b^2 + ab ) + ( a^2 + b^2 - ab ) = 1, then what is the valu…","url":"https://vidyalelo.com/practice-question/if-sqrt-a-pow-2-b-pow-2-ab-sqrt-a-pow-2-b-pow-2-ab-1-then-what-is-the-value-of-1-a2-1-255151","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Algebra","mainEntity":{"@type":"Question","name":"If ( a^2 + b^2 + ab ) + ( a^2 + b^2 - ab ) = 1, then what is the valu…","text":"If ( a^2 + b^2 + ab ) + ( a^2 + b^2 - ab ) = 1, then what is the value of (1 - a2) (1 - b2) ?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option D. 3/4. Answer & Solution Answer: Option D Solution: & ( a^2 + b^2 + ab ) + ( a^2 + b^2 - ab ) = 1 & Squaring both sides & a^2 + b^2 + ab + a^2 + b^2 - ab + 2 ( a^2 + b^2 )^2 - ( ab )^2 = 1 & ( a^2 + b^2 )^2 - ( ab )^2 = 1/2 - ( a^2 + b^2 ) & Again squaring both sides & a^4 + b^4 + 2a^2…"}}}1d:T7af,

Answer & Solution

Answer: Option D

Solution:

$$\eqalign{ & \sqrt {\left( {{a^2} + {b^2} + ab} \right)} + \sqrt {\left( {{a^2} + {b^2} - ab} \right)} = 1 \cr & {\text