9:{"metadata":[["$","title","0",{"children":"JIPMAT 2022 (QA) - If () and () are the roots of the equation a x^2+b x+c=0, then b^2 is | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined What we're given: () and () are roots of the quadratic equation ax^2 + bx + c = 0 What we need to find: The value of b^2

Using the basic properties of quadratic equations: For any quadratic equation ax^2 + bx + c = 0 with roots p and q: - Sum of roots = p + q = -ba - Product of roots = p q = ca Since our roots are () and (): () + () = -ba ... equation (1) () () = ca ... equation (2)

Using the trigonometric identity ^2() + ^2() = 1 Squaring both sides of equation (1): [() + ()]^2 = (-ba)^2 Expanding the <=ft side: ^2() + 2()() + ^2() = b^2a^2 Since ^2() + ^2() = 1: 1 + 2()() = b^2a^2

From equation (2), we know ()() = ca Substituting: 1 + 2(ca) = b^2a^2 1 + 2ca = b^2a^2 Multiplying everything by a^2: a^2 + 2ac = b^2 Therefore, b^2 = a^2 + 2ac"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"JIPMAT,QA,Algebra,Quadratic Equations"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"JIPMAT 2022 (QA) - If () and () are the roots of the equation a x^2+b x+c=0, then b^2 is | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined What we're given: () and () are roots of the quadratic equation ax^2 + bx + c = 0 What we need to find: The value of b^2

From equation (2), we know ()() = ca Substituting: 1 + 2(ca) = b^2a^2 1 + 2ca = b^2a^2 Multiplying everything by a^2: a^2 + 2ac = b^2 Therefore, b^2 = a^2 + 2ac"}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/ipmat-jipmat-past-year-questions/jipmat-2022/QA/23"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | IPMAT Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20IPMAT%20JIPMAT%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"JIPMAT 2022 (QA) - If () and () are the roots of the equation a x^2+b x+c=0, then b^2 is | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined What we're given: () and () are roots of the quadratic equation ax^2 + bx + c = 0 What we need to find: The value of b^2

From equation (2), we know ()() = ca Substituting: 1 + 2(ca) = b^2a^2 1 + 2ca = b^2a^2 Multiplying everything by a^2: a^2 + 2ac = b^2 Therefore, b^2 = a^2 + 2ac"}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20","$L21"],"error":null,"digest":"$undefined"}

JIPMAT 2022 (QA) PYQs

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