{"webhook_responses":{"incoming":[{"id":"491533627337955","changes":[{"value":{"messaging_product":"whatsapp","metadata":{"display_phone_number":"923058906050","phone_number_id":"597915633406951"},"message_echoes":[{"from":"923058906050","to":"923335760675","id":"wamid.HBgMOTIzMzM1NzYwNjc1FQIAERggQTVDRTY1QkUzMzhGOTg1NDRDRUI5NTA1MjA2REVFQjQA","timestamp":"1762491221","text":{"body":"SECTION-B (Marks 36)\r\nQUESTION 2: Attempt any NINE parts from the following. All parts carry equal marks. (9 * 4 = 36)\r\n02\r\nQuestion\r\nMarks\r\n4\r\nQuestion\r\nMarku\r\nSimplity\r\nverity An ( cap C |=|A cap B| tor given sets using Venn diagram\r\n4\r\nOR\r\n((3x - 2) ^ - 4)\/((- 2y - 2z - 7) ^ - 2)\r\n4(2.3.5.7) B = \\{1, 2, 3, 5\\} and e (3.4.6)\r\n4\r\nFind the square root of the following\r\n4\r\nMis 11. A radioactive substance decays according to the formula M =200* 10-00 her grams and t is time in years\r\nx * 123 + 29x = 33x + 25\r\nOR\r\na Use logarithm to express t in terms of M\r\nb. Find time when mass M reduces to 100 grams\r\niii. Prove that\r\n(x + n*theta)\/(1 + e*theta) = cos theta * cos theta + cos theta\r\nOR\r\nlines Find the equation of straight line passing through the point (3.2) and the point of intersection of given\r\nx + y - 3 =0| x - y - 1 = 0\r\n4\r\nSolve the inequality\r\n4\r\niv. Factorize the expression\r\n(z - 1)(z - 5)(z - 9)(z - 3) + 44\r\nOR\r\n3(- 4 + 5y) <= - 8(1 - 2y) + 6x\r\n4\r\nX = \\{1, 9\\} * Y = \\{2, 4, 6\\}\r\n1. Find the cartesian product XX Y\r\nOR\r\n4\r\n4\r\nA 30-inch pendulum swings through an angle of 30. Find the length of the arc in inches through which the tip of the pendulum swings\r\n2. List all the ordered pairs of the relation\r\nR =( langle x&,y&)|x Ey Ey\r\nunderline x >y|\r\nvi. A central angle in a circle of radius Acm is 75 Find the length of the antercepted arc and area bounded by the sector\r\n4\r\nFactorize the following x - 12x = 15\r\n4\r\nOR\r\nvii Reduce the equation f\u00fcr5y+15 4 Into\r\n1. Slope intercept form\r\n2. Two intercept form\r\nBobar Azam walked from point P to point at a bearing of 050 for 3Km. Then walked from point to point Rat bearing of 140. Find the distance QR, the distance between pand Rin 5km also find the bearing of R from p\r\nix. Pand Qare two similar solids. Solid p has surface area and volume 108cm Fand 135cm Respectively. Find the volume of solid if Has surface area 300cm\r\nOR\r\nFind the equation of straight line through\r\n5.-1) and perpendicular to the with the plope 4\r\n4\r\nOR\r\nAcricket team scores 96 runs in 16 overs and 190 runs in 30 overs\r\nWrite an equation of line for this situation\r\n2. What does the gradient mean in terms of scores\r\n3. What does y intercept mean in term of scores\r\n4. What will be the predicted score after 45 overs\r\n4 OR\r\nTwo cuboids are similar. Height of smaller cuboid is one third of bigger pne\r\n1. Find the ratio of surface area of larger cuboid to that of smaller one\r\n2. Find the surface area of bigger cuboid if surface area of smaller\r\ncuboid is 350cm\u00b2\r\n4\r\n4"},"type":"text"}]},"field":"smb_message_echoes"}]}],"delivered":[{"id":"491533627337955","changes":[{"value":{"messaging_product":"whatsapp","metadata":{"display_phone_number":"923058906050","phone_number_id":"597915633406951"},"statuses":[{"id":"wamid.HBgMOTIzMzM1NzYwNjc1FQIAERggQTVDRTY1QkUzMzhGOTg1NDRDRUI5NTA1MjA2REVFQjQA","status":"delivered","timestamp":"1762491227","recipient_id":"923335760675"}]},"field":"messages"}]}],"read":[{"id":"491533627337955","changes":[{"value":{"messaging_product":"whatsapp","metadata":{"display_phone_number":"923058906050","phone_number_id":"597915633406951"},"statuses":[{"id":"wamid.HBgMOTIzMzM1NzYwNjc1FQIAERggQTVDRTY1QkUzMzhGOTg1NDRDRUI5NTA1MjA2REVFQjQA","status":"read","timestamp":"1762492330","recipient_id":"923335760675"}]},"field":"messages"}]}]}}