If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is
2
3
A number x, when divided by 289 leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is
2
3
1
5
An equation of the form ax + by + c = 0, where, represents a straight line which passes through
(2, 4)
(0, 0)
(3, 2)
None of these
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.
If x2 = y + z, y2 = z + x and z2 = x + y, then the value of
is
1
2
0
-1
A.
1
x2 = y + z, y2 = z + x, z2 = x + y
By hit and trial method,
Put the value of x = y = z = 2 as it satisfies the equation,
If G is the centroid of Δ ABC and Δ ABC = 48 cm2, then the area of Δ BGC is
8 cm2
16 cm2
24 cm2
32 cm2