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:T4b7,{"@context":"https://schema.org","@type":"QAPage","name":"If ( 1 - p^2 ) ( 1 - q^2 ) = 3 2, then what is the value of 2p^2 + 2q…","url":"https://vidyalelo.com/practice-question/if-sqrt-1-p-pow-2-1-q-pow-2-sqrt-3-2-then-what-is-the-value-of-sqrt-2p-pow-2-2q-pow-2-2pq-sqrt-2p-pow-2-258055","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 ( 1 - p^2 ) ( 1 - q^2 ) = 3 2, then what is the value of 2p^2 + 2q…","text":"If ( 1 - p^2 ) ( 1 - q^2 ) = 3 2, then what is the value of 2p^2 + 2q^2 + 2pq + 2p^2 + 2q^2 - 2pq \\,?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option B. √2. Answer & Solution Answer: Option B Solution: & ( 1 - p^2 ) ( 1 - q^2 ) = 3 2\\,........\\, ( i ) & Put value of p and q & p = 0,\\,q = 1/2 & Equation ( i ) is satisfying & Then, & 2p^2 + 2q^2 + 2pq + 2p^2 + 2q^2 - 2pq & = 0 + 2/4 + 0 + 0 + 2/4 - 0 & = 1 2 + 1 2 & = 2 2 & = 2"}}}1d:T407,

Answer & Solution

Answer: Option B

Solution:

$$\eqalign{ & \sqrt {\left( {1 - {p^2}} \right)\left( {1 - {q^2}} \right)} = \frac{{\sqrt 3 }}{2}\,........\

If ( 1 - p^2 ) ( 1 - q^2 ) = 3 2, then what is the value of 2p^2 + 2q^2 + 2pq + 2p^2 + 2q^2 - 2pq \,?

Solution