Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 3 is consistent or not. Ans: Draw graph for y = – 3 and x = 0. As y = – 3 is intersecting x = 0 at (0,-3); So, system of equations is consistent.
August 2023
Q) Find the least number which when divided by 12, 16 and 24 leaves remainder 7 in each case. Ans: Let’s start with LCM of 12, 16, 24: We get LCM as 48 Since remainder is 7, It means the number is 7 more than LCM Hence, the required number is 48 + 7 =
Q) The discus throw is an event in which an athlete attempts to throw a discus. The athlete spins anti-clockwise around one and a half times through a circle, then releases the throw. When released, the discus travels along tangent to the circular spin orbit. In the given figure, AB is one such tangent to
Q) Can any rational value of x make the new area equal to 220cm2 ? Ans: If by increasing each dimension by x units, the area of photo is enlarged to 220 cm2, then (18 + x) (12 + x) = 220 ⇒ x2 + 30 x + 216 = 220 ⇒ x2 + 30
Can any rational value of x make the new area equal to 220cm2 Read More »
Q) While designing the school year book, a teacher asked the student that the length and width of a particular photo is increased by x units each to double the area of the photo. The original photo is 18 cm long and 12 cm wide. Based on the above information, answer the following questions: (I)
Q) A spherical balloon of radius r subtends an angle of 60° at the eye of an observer. If the angle of elevation of its centre is 45° from the same point, then prove that height of the centre of the balloon is √2 times its radius. Ans: Let’s start from drawing the above image. Our
Q) A chord of a circle of radius 14 cm subtends an angle of 60° at the centre. Find the area of the corresponding minor segment of the circle. Also find the area of the major segment of the circle. Ans: Let the chord AB cut the circle in 2 parts. Sector APB is minor
Q) 250 logs are stacked in the following manner: 22 logs in the bottom row, 21 in the next row, 20 in the row next to it and so on (as shown by an example). In how many rows, are the 250 logs placed and how many logs are there in the top row? Ans: Let there
Q) The ratio of the 11th term to 17th term of an A.P. is 3:4. Find the ratio of 5th term to 21st term of the same A.P. Also, find the ratio of the sum of first 5 terms to that of first 21 terms. Ans: We know that nth term of an A.P. = a +
Q) A room is in the form of cylinder surmounted by a hemi-spherical dome. The base radius of hemisphere is one-half the height of cylindrical part. Fine the total height of the room if it Contains m3 of air. Take Ans: Let h be the height of cylindrical part and r be the radius of