CATGeometry > Mediumabr2a2+b2\frac{abr^2}{a^2+b^2}a2+b2abr2abr22(a2+b2)\frac{abr^2}{2(a^2+b^2)}2(a2+b2)abr22abr2a2+b2\frac{2abr^2}{a^2+b^2}a2+b22abr24abr2a2+b2\frac{4abr^2}{a^2+b^2}a2+b24abr2✅ Correct Option: 3Related questions:CAT 2019 Slot 2In a triangle ABCABCABC , medians ADADAD and BEBEBE are perpendicular to each other, and have lengths 12 cm12 \mathrm{~cm}12 cm and 9 cm9 \mathrm{~cm}9 cm, respectively. Then, the area of triangle ABCABCABC, in sq cm, isCAT 2017 Slot 1Let ABCABCABC be a right-angled isosceles triangle with hypotenuse BCBCBC. Let BQCBQCBQC be a semi-circle, away from AAA, with diameter BCBCBC. Let BPCBPCBPC be an arc of a circle centred at AAA and lying between BCBCBC and BQCBQCBQC. If ABABAB has length 666 cm ,then the area, in sq. cm, of the region enclosed by BPCBPCBPC and BQCBQCBQC is:CAT 2023 Slot 1In a right-angled triangle △ABC\triangle A B C△ABC, the altitude ABA BAB is 5 cm5 \mathrm{~cm}5 cm, and the base BCB CBC is 12 cm12 \mathrm{~cm}12 cm. PPP and QQQ are two points on BCB CBC such that the areas of △ABP,△ABQ\triangle \mathrm{ABP}, \triangle \mathrm{ABQ}△ABP,△ABQ and △ABC\triangle \mathrm{ABC}△ABC are in arithmetic progression. If the area of △ABC\triangle \mathrm{ABC}△ABC is 1.51.51.5 times the area of △ABP\triangle \mathrm{ABP}△ABP, the length of PQ in cm , is