MEDIUM
10th CBSE
IMPORTANT
Earn 100

If the roots of the equation a2+b2x2-2(ac+bd)x+c2+d2=0 are equal, prove that ab=cd

Important Questions on Quadratic Equations

MEDIUM
10th CBSE
IMPORTANT
If adbc then prove that the equation a2+b2x2+2(ac+bd)x+c2+d2=0 has no real roots.
MEDIUM
10th CBSE
IMPORTANT
If the roots of the equations ax2+2bx+c=0 and bx2-2acx+b=0 are simultaneously real then prove that b2=ac
MEDIUM
10th CBSE
IMPORTANT
The sum of a natural number and its square is 156. Find the number.
MEDIUM
10th CBSE
IMPORTANT
The sum of natural number and its positive square root is 132. Find the number.
MEDIUM
10th CBSE
IMPORTANT

The sum of two natural number is 28 and their product is 192. Find the numbers.

MEDIUM
10th CBSE
IMPORTANT
The sum of the squares of two consecutive positive integers is 365. Find the integers.
HARD
10th CBSE
IMPORTANT
The sum of the squares of two consecutive positive odd numbers is 514. Find the numbers.
MEDIUM
10th CBSE
IMPORTANT
The sum of the squares of two consecutive positive even numbers is 452. Find the numbers.