Solve the followings Questions. 1. Sides of triangles are given below. Determine which of them are right triangles? In case of a right triangle, write the length of its hypotenuse.(i) 7 cm, 24 cm, 25 cm(ii) 3 cm, 8 cm,…
Solve the followings Questions. 1. Let ΔABC ~ ΔDEF and their areas be, respectively, 64 cm2 and 121 cm2. If EF = 15.4 cm, find BC. Answer: It is given that,Area of ΔABC = 64 cm2Area of ΔDEF = 121 cm2EF…
Solve the followings Questions. 1. State which pairs of triangles in figure, are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form: Answer: (i) In …
Solve the followings Questions. 1. In figure (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). Answer: (i) Since DE || BC, Let, EC = x cm It is given that DE || BC By…
Solve the followings Questions. 1. Fill in the blanks using the correct word given in brackets: (i) All circles are _______________. (congruent, similar) (ii) All squares are _______________. (similar, congruent) (iii) All _______________ triangles are similar. (isosceles, equilateral) (iv) Two…
Solve the followings Questions. 1. Which term of the AP: 121, 117, 113, ….. is its first negative term? Answer: Given: 121, 117, 113, ……. Here, a = 121 and d = 117-121 = – 4 Let the nth term…
Solve the followings Questions. 1. Find the sum of the following AP’s. (i) 2, 7, 12… to 10 terms (ii) –37, –33, –29… to 12 terms (iii) 0.6, 1.7, 2.8… to 100 terms (iv)1/15 ,1/12,1/10—to 11 terms Answer: (i) 2,…
Solve the followings Questions. 1. Find the missing variable from a, d, n and an, where a is the first term, d is the common difference and an is the nth term of AP. (i) a = 7, d =…
Solve the followings Questions. 1. In which of the following situations, does the list of numbers involved make as arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km…
Solve the followings Questions. 1. Find the nature of the roots of the following quadratic equation. If the real roots exist, find them: Answer:We know that the quadratic equation ax2+bx+c = 0 has(a) Two distinct real roots, if b2-4ac >…