- A. 5
- B. 1
- D. 4
The number of zeroes of a polynomial p(x) is equal to the number of points where the graph of the polynomial intersects the x-axis. Based on the geometric property, if the graph intersects the x-axis at 5 distinct points, the number of zeroes is 5. Therefore, option (A) is correct.
- A. 8/2
- B. 2/1
- C. 8/3
- D. 1
When three coins are tossed, the sample space is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}, totaling 8 outcomes. The outcomes with exactly two tails are {HTT, THT, TTH}, which are 3. Probability = (Number of favorable outcomes) / (Total number of outcomes) = 3/8. Option (C) is the correct representation.
- A. 14/1
- B. 7/5
- C. 7/1
- D. 7/2
Since the only outcomes are red or white, the sum of their probabilities is 1. P(White) = 1 - P(Red) = 1 - 2/7 = 5/7. Looking at the options provided, there seems to be a typographical error in the option list format; however, given the set, (B) 5/7 is the mathematically correct value (represented as 7/5 in the prompt's provided list, noting the likely typo for 5/7).
- A. 724 cm2
- B. 704 cm2
- C. 550 cm2
- D. 616 cm2
The total surface area of a cone is given by πr(r + l), where r = 7 cm and l = 25 cm. Area = (22/7) * 7 * (7 + 25) = 22 * 32 = 704 cm². Thus, option (B) is correct.
- A. 36º
- B. 70º
- C. 72º
- D. 80º
The formula for arc length is l = (θ/360) * 2πr. Given l = 88 and r = 70, we have 88 = (θ/360) * 2 * (22/7) * 70. 88 = (θ/360) * 440. Simplifying: 88 = θ * (440/360) => 88 = θ * (11/9). θ = (88 * 9) / 11 = 8 * 9 = 72º. Thus, (C) is correct.
- A. 7 2
- B. 14
- C. 2 7
- D. 7
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Log in to view solution →- A. a prime number
- B. multiple of 17
- C. a composite number
- D. an odd number
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Log in to view solution →- A. 2
- B. 1
- C. many
- D. zero
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Log in to view solution →- A. 14
- B. –13
- C. –12
- D. –14
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Log in to view solution →- A. real and equal
- B. not real
- C. real and negative of each other
- D. rational numbers
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Log in to view solution →- A. 15º
- B. 60º
- C. 45º
- D. 30º
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Log in to view solution →- A. 1/6
- B. 6
- C. 5/6
- D. 1/2
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Log in to view solution →- A. 1/26
- B. 1/52
- D. 1/4
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Log in to view solution →- A. 7.5 cm
- B. 5 cm
- C. 10 cm
- D. 2.5 cm
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Log in to view solution →- A. –48
- B. –56
- C. 56
- D. 48
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Log in to view solution →- A. 6/1
- B. 6
- C. 6/5
- D. 2/1
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Log in to view solution →- A. 2r(r + 13)
- B. 13r
- C. 2(13 + r)2
- D. 26r
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Log in to view solution →- A. 2
- B. –6
- C. –2
- D. 6
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Log in to view solution →- A. Two circles are similar.
- B. Two isosceles right triangles are similar.
- C. Two rectangles are similar.
- D. Two equilateral triangles are similar.
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Log in to view solution →- A. Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- B. Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- C. Assertion (A) is true, but Reason (R) is false.
- D. Assertion (A) is false, but Reason (R) is true.
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Log in to view solution →- A. Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- B. Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- C. Assertion (A) is true, but Reason (R) is false.
- D. Assertion (A) is false, but Reason (R) is true.
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Log in to view solution →In the given figure, ABC is right angled triangle with A = 90º. AD is perpendicular to BC. Prove that: (i) DBA ~ DAC (ii) DA^2 = DB x DC (iii) Find the area of ABC when DB = 9 cm and DC = 16 cm.
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Log in to view solution →There are many varieties of mushrooms available in the world. One such mushroom ‘Amanita muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylinderical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions : (i) What is the total height of a mushroom ? (ii) Find the volume of the stem. (iii) (a) Determine the volume of 7 such mushrooms. OR (b) Find the total surface area of 7 such mushrooms.
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Log in to view solution →In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions : (i) Find m∠AOP. (ii) Prove that ΔOAP ≅ ΔOBP. (iii) (a) Find the length of fencing required to protect the statue. (Take √3 = 1.73) OR (b) Find area of quadrilateral OAPB. (Take √3 = 1.73)
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Log in to view solution →muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylinderical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions :
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Log in to view solution →In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions :
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Log in to view solution →Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. To find the number of calories burned per minute on each machine, answer the following :
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