Related InterviewSolutions

• Prove that 8sqrt(5) is irrational.
• A point C is said to lie between the points A and B if
• ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that ( i ) triangle ABE ~= triangle ACF (ii) AB = AC i.e ABC is an isoceles triangle
• (a) (i) By takingany twoirrational numbers,prove that their sumis arational number. (ii) By takingany twoirrational numbers, prove that their difference is a rational number. (b) Insert in between1/7 and 2/7 (i)a rational number : (ii) an irrational number.
• Find the mean of all prime numbers between 20 and 50.
• The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, find the length of the equal sides.
• If A=60^(@), verify that : (i) sin^(2)A+cos^(2)A=1"(ii) "sec^(2)A-tan^(2)A=1
• Construct a DeltaABC whose perimeter is 10.5 cm and the base angles are 60^(@) and 45^(@).
• Draw an angle of 80^(@) with the help of protractor . Then, construct angles of (i) 40^(@) (ii) 160^(@) and (iii) 120^(@) .
• Water is pouring into a conical vessel of diameter 5.2m. And slant height 6.8 m(as shown in the adjoining ) , at the rate of 1.8 m^(3)per minute .How long will it take to fill the vessel?