MEDIUM
10th CBSE
IMPORTANT
Earn 100

At present Asha's age (in years) is 2 more than the square of her daughter Nisha's age. When Nisha grows to her mother's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.

Important Questions on Quadratic Equations

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 1
The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 2
The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the sides of the field.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 3
The hypotenuse of a right triangle is 310 cm. If the smaller leg is tripled and the longer leg doubled, new hypotenuse will be 95 cm. How long are the legs of the triangle?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 4
A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.11>Q 1
The perimeter of a rectangular field is 82 m and its area is 400 m2. Find the breadth of the rectangle.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.11>Q 2
The length of a hall is 5 m more than its breadth. If the area of the floor of the hall is 84 m2, what are the length and breadth of the hall?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.11>Q 3
Two squares have sides x cm and (x+4) cm. The sum of their areas is 656 cm2. Find the sides of the squares.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.11>Q 4
The area of a right-angled triangle is 165 m2. Determine by its base and altitude if the latter exceeds the former by 7 m.