question_answer1) How many terms of the A. P. 65, 60, 55,.... be taken so that their sum is zero?
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A box consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Ramesh, a shopkeeper will buy only those shirts which are good but 'Kewal' another shopkeeper will not buy shirts with major defects. A shirt is taken out of the box at random. What is the probability that |
(i) Ramesh will buy the selected shirt? |
(ii) 'Kewal' will buy the selected shirt? |
question_answer3) Solve the following quadratic equation for x: \[{{x}^{2}}\left( \frac{a}{a+b}=\frac{a+b}{a} \right)x+1=0\]
View Answer play_arrowquestion_answer4) A toy is in the form of a cone of base radius 3.5 cm mounted on a hemisphere of base diameter 7 cm. If the total height of the toy is 15.5 cm, find the total surface area of the toy. \[\left( use\,\pi =\frac{22}{7} \right)\]
View Answer play_arrowquestion_answer5) The sum of three numbers in A.P is 12 and sum of their cubes is 288. Find the numbers.
View Answer play_arrowquestion_answer6) Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
View Answer play_arrowquestion_answer7) The time taken by a person to cover 150 km was \[2\frac{1}{2}\] hours more than the time taken is return journey. If he returned at a speed of 10 km/hour more than the speed while going, find the speed per hour in each direction.
View Answer play_arrowquestion_answer8) Draw a triangle ABC with \[BC=7\text{ }cm,\angle B=45{}^\circ \] and \[\angle A=105{}^\circ \]. Then construct a triangle whose sides are \[\frac{4}{5}\] times the corresponding sides of \[\Delta \text{ }ABC\].
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