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10. It is given that AABC ~ AEDF such that AB = 5 cm, AC=7 cm, DF = 15 cm and DE = 12 cm, then the %3! %3! sum of the remaining sides of the triangles is 2 (a) 23.05 cm (d) 24 cm (b) 16.8 cm (c) 6.25 cm

10. It is given that AABC ~ AEDF such that AB = 5 cm, AC=7 cm, DF = 15 cm and DE = 12 cm, then the %3! %3! sum of the remaining sides of the triangles is 2 (a) 23.05 cm (d) 24 cm (b) 16.8 cm (c) 6.25 cm

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 42E
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* It is given that AABC ~ AEDF such that AB = 5 cm. AC=7 cm. DF = 15 cm and DE =12 cm, then the sum of the remaining sides of the triangles is (d) 24 cm (a) 23.05 cm (b) 16.8 cm (c) 6.25 cm a sin o 1- acoso 11. If tan 0 = and tan o = bsine then 2. 1- bcos0 sin e sin e sin 0 sin o (a) 1- cose (b) 1- cos o (c) sin e (d) sin o 12. Area of the largest triangle that can be inscribed in a semi-circle of radius r units is: (b) 2 1 2 sq. units (d) 2 sq. units (a) r sq. units (c) 2r2 sq. units SECTION-B – Assertion-Reason Type Questions In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct choice as: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true. 13. Assertion : x² + 4x + 5 has two zeroes. Reason : A quadratic polynomial can have at the most two zeroes. 1 14. Assertion :x+ x has only one real zero. Reason : A polynomial of nth degree must have n real zeroes. 1 15. Assertion : The value of y is 6, for which the distance between the points P(2, –3) and Q (10, y) is 10. Reason : Distance between two given points A(x,, Y¡) and B(x, y,) is given 6, AB = ちー」 1 16. Assertion : Two similar triangles are always congruent. Reason : If the areas of two similar triangles are equal, then the triangles are congruent. 1 17. Assertion : If in a AABC , a line DE || BC, intersects AB in D and AC in E then AB AC AD AE Reason : If a line is drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio. 1 18. Assertion : If a die is thrown, the probability of getting a number less than 3 and greater than 2 is zero. Reason : Probability of an impossible event is zero. 1 19. Assertion : For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b Poocon Th UGE-6 e Qumhere ig 5 ond their produot ia 150 Th
Transcribed Image Text:* It is given that AABC ~ AEDF such that AB = 5 cm. AC=7 cm. DF = 15 cm and DE =12 cm, then the sum of the remaining sides of the triangles is (d) 24 cm (a) 23.05 cm (b) 16.8 cm (c) 6.25 cm a sin o 1- acoso 11. If tan 0 = and tan o = bsine then 2. 1- bcos0 sin e sin e sin 0 sin o (a) 1- cose (b) 1- cos o (c) sin e (d) sin o 12. Area of the largest triangle that can be inscribed in a semi-circle of radius r units is: (b) 2 1 2 sq. units (d) 2 sq. units (a) r sq. units (c) 2r2 sq. units SECTION-B – Assertion-Reason Type Questions In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct choice as: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true. 13. Assertion : x² + 4x + 5 has two zeroes. Reason : A quadratic polynomial can have at the most two zeroes. 1 14. Assertion :x+ x has only one real zero. Reason : A polynomial of nth degree must have n real zeroes. 1 15. Assertion : The value of y is 6, for which the distance between the points P(2, –3) and Q (10, y) is 10. Reason : Distance between two given points A(x,, Y¡) and B(x, y,) is given 6, AB = ちー」 1 16. Assertion : Two similar triangles are always congruent. Reason : If the areas of two similar triangles are equal, then the triangles are congruent. 1 17. Assertion : If in a AABC , a line DE || BC, intersects AB in D and AC in E then AB AC AD AE Reason : If a line is drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio. 1 18. Assertion : If a die is thrown, the probability of getting a number less than 3 and greater than 2 is zero. Reason : Probability of an impossible event is zero. 1 19. Assertion : For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b Poocon Th UGE-6 e Qumhere ig 5 ond their produot ia 150 Th
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