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 STEP BY STEP SOLUTION 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: 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)
If x=2/3 and x=−3 are the roots of the equation, ax2+7x+b=0, find the values of a and b. Read More »
Q) In figure 1, a right triangle ABC in which ∠B = 90 is shown. Taking AB as diameter, a circle has been drawn intersecting AC at point P. Prove that the tangent drawn at point P bisects BC. Ans: Here is the step by step solution method: Step 1: We can see that, Q
Q) Gadisar Lake is located in the Jaisalmer district of Rajasthan. It was built by the King of Jaisalmer and rebuilt by Gadsi Singh in 14th century. The lake has many Chhatris. One of them is shown below: Observe the picture. From a point A, h m above from water level, the angle of elevation of
Q) In Mathematics, relations can be expressed in various ways. The matchstick patterns are based on linear relations. Different strategies can be used to calculate the number of matchsticks used in different figures. One such pattern is shown below. Observe the pattern and answer the following questions using Arithmetic Progression: (a) Write the AP for
Q) PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semi-circles are drawn such that PQ = QR = RS. Semicircles are drawn on PQ and QS as diameters as shown in figure. Find the perimeter and area of the shaded region. Ans: Given that the