Practice Area – A rectangular block has the dimensions 5*6*7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm.if the level of the fluid in the cylinder rises by 4 cm, what portion of the block is immersed in the fluid.
Practice Area – From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is
Practice Area – Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is
Practice Area – If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is
Practice Area – Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB,BC,and CA is 4(_/2-1) cm,then the area, in sq cm, of the triangle ABC is
Practice Area – The shortest distance of the point (1/2,1) from the curve y = |x-1| + |x+1| is
Practice Area – Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with diameter BC. Let BPC be an arc of a circle centered at A and lying between BC and BQC. If AB has length 6 cm then the area, in sq cm, of the region enclosed by BPC and BQC is
Practice Area – The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y =3x+c,then c is
Practice Area – ABCD is a quadrilateral inscribed in a circle with centre O. If
Practice Area – Let AB, CD, EF, GH, and JK be five diameters of a circle with center at 0. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and 0 so as to form a triangle?
Practice Area – The area of the closed region bounded by the equation I x I + I y I = 2 in the two-dimensional plane is
Practice Area – Difference between the perimeteres of two concentric circles is 66. Find the difference between radius.
Practice Area – Four concentric circles are given .The radius of 1st circle is x.next is 2x,then 3x and 4x. Given that area between 2nd and 1st is A and 4th and 3rd circles being B. Find ratio of A to B
Practice Area – A closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is painted on the inside. The cost of painting is Rs 70. What is the rate of painting in rupees per sq. cm?
Practice Area – If the radius of a circle is increased by 20% then the area is increased by: