Skip to content
Q) From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, then find the width of the river. Ans: Step 1: Diagram for this question: Step […]
From a point on a bridge across a river, the angles of depression of the banks Read More »
Q) Following is the daily expenditure on lunch by 30 employees of a company: Find the mean daily expenditure of the employees. Ans: We can solve this question by 2 methods: (you can choose any one method whichever you like): I. Direct Method: let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint
Following is the daily expenditure on lunch by 30 employees of a company: Read More »
Q)Â Pookalam is the flower bed or flower pattern designed during Onam in Kerala. It is similar as Rangoli in North India and Kolam in Tamil Nadu. During the festival of Onam , your school is planning to conduct a Pookalam competition. Your friend who is a partner in competition, suggests two designs given below. Observe
Pookalam is the flower bed or flower pattern designed during Onam in Kerala. Read More »
Q)Â Scale drawing of an object is the same shape at the object but a different size. The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the
Scale drawing of an object is the same shape at the object but a different size. Read More »
Q) Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the figure below. To find the distance between the points, he makes a right-angled triangle using rope connecting B with another point C
Rohan wants to measure the distance of a pond during the visit to his native. Read More »
Q) Solve the following quadratic equation by factorization method. Ans: Let’s find out the hidden quadratic equation: ∴ ∴ ∴ X (3 X – 5) = 6 (X2 – 3 X + 2) ∴ 3 X2 – 5X = 6X2 – 18X + 12 ∴ 3X2 -13 X + 12 = 0 ∴ 3 X2
Solve the following quadratic equation by factorization method.(1/x-2) + (1/x-1)=6/x Read More »
Q) Water in a canal, 8 m wide and 6 m deep, is flowing with a speed of 12 km/hour. How much area will it irrigate in one hour, if 0.05 m of standing water is required? Ans: VIDEO SOLUTION Â STEP BY STEP SOLUTION Â Here, it is given that water is flowing out at
Q) From a solid cylinder of height 30 cm and radius 7 cm, a conical cavity of height 24 cm and same radius is hollowed out. Find the total surface area of the remaining solid. Ans:Â Let’s draw the diagram to capture the shape: After taking out the conical shape from cylinder, total surface area of
Q) If one root of the quadratic equation 2X2 + kX − 6 = 0 is 2, find the value of k. Also, find the other root. Ans: We know that a root of a polynomial satisfies the polynomial. Here, we are given that X = 2 is the root of the equation 2X2 + kX – 6 =
Q) If X = and X = − 3 are the roots of the equation aX2 + 7X + b = 0, find the values of a and b. Ans: We know that if a and b are the roots of a polynomial, then the polynomial can be given by (X – a) (X – b)