The mean of the data x1, x2, x3, …………… x10 is 20 then the mean of (x1 + 4) , (x2 + 4) , (x3 + 4) , …….(x10 + 4) will be a) 20 b) 24 c) 40 d) 10 Answer : b) 24 Explaination : Mean of the Read more…
Write true or false : Only one circle can be drawn through three non-collinear points. Answer : True Explanatation : Through 3 non-collnear points, only one triangle can be drawn. Hence, only one circumcircle can be drawn. Therefore, the given statement is true.
If the bases of two triangles are situated on same line and other vertex of the two triangles are common, then the ratio of the areas of two triangles ______to the ratio of their bases. Answer: equal Explanation: Area of Δ ABC / Area of ΔBCD={ ( 1 / 2 Read more…
The simplest value of cos53˚/sin37˚is ______. Answer: 1 Explanation: cos53˚/sin37˚= cos(90-37)/ sin37˚ [ ∵ 53+37=90 ⇒ 53 = 90-37 ] = sin37˚/sin37˚ [ ∵ cos(90-θ) = sinθ ] = 1
Number of surfaces of a solid right circular cylinder is _______. Answer : 03 Explaination :
Introduction : In our dailylife, we may observe that the path of the rays of light have been bent when the these go from one medium to another medium at the separation of the two media. A man sees a fish under water. He tries to catch it but the Read more…
O is te centre of a circle and AB a diameter ABCD is a cyclic quadrilateral. ∠ABC=65°, ∠DAC=40°, then the measure of ∠BCD is ______. a)75° b)105° c)115° d)80° Answer : 115° Explaination: Given: ∠ABC=65° ∠DAC=40° ∠BCD= ?? ∵ ∠ACB is angle in a semicircle. ∴ ∠ACB = 90° ∵ Read more…
If tan∝ + cot∝ = 2, then the value of tan13∝ + cot13∝ is ______. a) 13 b) 2 c) 1 d) 0 Answer : b ) 2 Explaination : Given : tan∝ + cot∝ = 2 ⇒ tan∝ + 1/tan∝=2 ⇒ tan2∝ + 1/tan∝ = 2 ⇒ tan2∝ + 1 Read more…
Introduction : In our dailylife, we observe different types of mirror. Different mirrors produce different images in different situation. Actually, mirror is the best example of smooth surface. Let’s discuss the different type of mirror. Types of Mirror : Generally, there are three types of mirror. 1 ) Plane mirror Read more…
Introduction : We have learned about the properties of the gas, Boyle’s Law, Charles’ Law, and Gay Lussaic’s Law. Through the kinetic theory of gas, we know that the gas molecules are of point mass and point volume. That means, with respect to the mass of the gas, the mass Read more…