More from Anujith K

Question 1 :
Find the roots of the quadratic equations, if they exist, by applying quadratic formula: $2x^2 + x – 4 = 0$

Question 3 :
In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

Question 4 :
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the express train.

Question 6 :
Justify why the following quadratic equation has no two distinct real roots: $x\left(1-x\right)-2=0$

Question 7 :
Check whether the following is quadratic equation : $(x+2)^3 = 2x (x^2 - 1)$

Question 8 :
Does the following equation has the sum of its roots as 3? $3x^2-3x+3=0$

Question 9 :
What is the general expression (standard form) for quadratic equations ?

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b61273b23058497998e.png' /> In the centre of a rectangular lawn of dimensions $50m×40m$, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 $m^2$ in the above figure. Find the breadth of the pond.

Question 14 :
A natural number whose square diminished by 84 is equal to thrice of 8 more than the given number is?

Question 15 :
Represent the following situation in the form of a quadratic equation : The area of a rectangular plof is 528 $m^2$. The length of the plof (in metres) is one more than twice its breadth. We need to find the length and breadth of the plof.