Question : 1 Using integration, find the area bounded by the curve 4x2 + y2 = 36.
Answer: 18Ï€
Question : 2 The area bounded by the curve, y2 = 4x, y-axis, and y = 3 is represented as
Answer: 9/4
Question : 3Answer: 15/4
Solution Hint
Question : 4 Sketch the graph of y = x|x| and hence find the area bounded by this curve, X – axis and the ordinates x = -2 and x = 2, using integration.
Answer: 16/3
Solution Hint: [Hint: y = x2 if x > 0 and y = –x2 if x < 0]
Question 5: Using integration, find the area of the region enclosed between the circle x2 + y2 = 16 and the lines x = – 2 and x = 2.
Answer: 8√3+16Ï€/3
Question 6: Using integration, find the area bounded by the ellipse 9x2 +25y2 = 225, the line x = -2, x =2, and the x-axis.
Answer:
Question 7: Using integration find the area of the ellipse
Answer: 4√3 + 8Ï€/3
Question 8: Find the area of the region bounded by the curves x2 = y, y = x+2 and x-axis, using integration.
Answer: 5/6
Solution Hint:
Answer: π/3
Question 10: Using integration, find the area of the region bounded by the parabola y2 = 4ax and its latus rectum.
Answer: 8/3 a2
Question 11: Find the area bounded by the y-axis, y = cos x and y = sin x when
Answer: √2 - 1
Solution Hint
Answer: 4 Square unit
Solution Hint
Question : 13: Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).
Answer: 3/2 Square Units
Question 14: Using integration find the area of region bounded by the triangle whose vertices
are (– 1, 0), (1, 3) and (3, 2).
Answer: 4 Square Units
Question 15: Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4.
Answer: 8 Units
Question 16: If A1 denotes the area of region bounded by y2 = 4x, x = 1 and x-axis in the first quadrant and A2 denotes the area of region bounded by y2 = 4x, x = 4, find A1 : A2.
Answer: A1 4/3, A2 = 64/3, A1 : A2 =1:16
Question 17: Find the area of the region bounded by the curves y = x2 + 2, y = x, x = 0 and x = 3
Answer: 21/2
Solution Hint:
Question : 18: Sketch the graph of y = |x + 3| and evaluate
Answer: 9
Question : 19: Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x +12
Answer: 27 Square Unit
Solution Hint:
Question : 20 : Using the method of integration find the area bounded by the curve |x| + |y| = 1
Answer: 2 Square units
Solution Hint
Answer:
"Still can’t believe I missed out on the Murakami x Billie Eilish collab. One of the coolest crossovers in recent fashion history. Art, music, and fashion in perfect sync."
ReplyDeleteessential hoodie has remained a constant. Simple, versatile, and timeless, the hoodie has evolved from a basic piece of sportswear into a fashion staple seen on everyone—from students to celebrities, athletes to artists.
ReplyDeleteThe story of Chrome Hearts begins in Los Angeles, where Richard Stark, originally a manufacturer of leather motorcycle gear, joined forces with Leonard Kamhout (a master silversmith) and John Bowman (a manufacturer).
ReplyDelete"I rock with Trapstar, but some of the designs lately feel a little repetitive. Hoping they experiment more next season."
ReplyDelete"I just bought a hoodie from the last drop. Super comfy, but the sizing runs big. Heads up for anyone buying!"
ReplyDeleteOne of the first major breakthroughs for the brand came through its iconic logo — the Alcatraz Island prison — symbolizing resistance to conformity and freedom from the system. This symbol resonates deeply with Corteiz’s core audience: young
ReplyDeleteThe Godspeed hoodie really captures modern streetwear energy. It’s clean, minimal, and designed for people who value both comfort and culture.
ReplyDelete"Shoutout to the blog for putting me on to Godspeed Apparel — exactly the kind of brand I’ve been looking for. Quality, message, and style all in one."
ReplyDelete"Trapstar’s drop schedules are wild — blink and you miss it. Finally caught one and it’s easily my favorite hoodie this season."
ReplyDeleteCorteiz’s designs are rooted in street culture, featuring bold graphics, military-inspired silhouettes, and slogans like “Rules the World” and the iconic Alcatraz logo.
ReplyDeleteRhude Clothing is a modern fashion label where rhude meets luxury streetwear in perfect harmony. Founded in Los Angeles in 2015, Rhude blends minimalist design, premium fabrics, and narrative-rich collections that reflect the city’s culture and socio-economic messages . The brand’s signature aesthetic seamlessly fuses American iconography with nostalgic references,
ReplyDeleteRhude clothing
Really useful assignment — the way you cover the application of integrals for Class XII makes it clear and practical. I also run ericemanuels.org
ReplyDeletewhere we share educational resources and study-tips. Thanks for putting this together
eric emanuelsorg
The brand’s early success stemmed from its ability to speak directly to young people who felt overlooked by high-end streetwear giants. The messaging was bold, raw, and unapologetically anti-establishment, with slogans like “Rule the World” embodying the brand’s defiant spirit. This authenticity would become Corteiz’s signature appeal.
ReplyDeleteFake Gods sudaderas se han convertido en una de las prendas más representativas dentro del streetwear contemporáneo. Más que simples hoodies, estas piezas encarnan un concepto de rebeldÃa estética, autenticidad y expresión personal.
ReplyDeleteLattafa, a UAE-based fragrance house, is well known for crafting luxurious-smelling perfumes at budget-friendly prices. Yara is one of the brand’s most successful fragrances, celebrated for its sweet, creamy profile that appeals to a wide range of users
ReplyDeletePajamas have evolved far beyond their traditional roots of plain cotton sets. Modern sleepwear now embraces playful prints, soft pastels, high-quality fabrics, and relaxed silhouettes. Pink palm puff pajamas stand out in this category for several reasons:
ReplyDeleteWe offer a diverse collection of shoes for men, women, and children. From elegant formal shoes to casual sneakers and boots, Berness Shoes has a style for every occasion. Our designs are carefully curated to suit modern fashion trends while maintaining timeless appeal.
ReplyDeleteQuality matters. Our bread knives are crafted from premium stainless steel, carbon steel, or high-grade alloy, ensuring long-lasting sharpness and corrosion resistance. Handles are ergonomically designed for comfort, reducing fatigue during extended use.
ReplyDeleteWe take pride in offering a hassle-free online shopping experience for customers across Canada and beyond. From clean product pages to fast checkouts, we’ve designed our website to make your purchase smooth, secure, and enjoyable. Our customer service team is always ready to help if you have questions about sizing, materials, or orders.
ReplyDeleteFor collaborations, influencers, and partners, Sp5der Worldwide offers strong branding value. Our rapidly expanding community, high engagement levels, and unique product offerings make us a standout choice for promotional and creative partnerships.
ReplyDeleteThe community around Godspeed Clothing grows because the brand stands for more than surface level fashion. It inspires connection through shared experiences of ambition creativity and human resilience.
ReplyDelete