Two triangles have the same areas if
Two sides in one triangle are equal to two sides in the other
Three sides in one triangle are equal to three sides in the other
Two angles in the triangle are equal to two angles in the other
Three angles in one triangle are equal to three angles in the other
One side and the opposite angle in one triangle are equal to one side and the opposite angle in the other
Correct answer is B
Two triangles have the same area if three sides in one triangle equal to three in the other.
The quantity (x + y) is a factor of
x2 + y2
x3 - y3
2x2 - 3xy + y2 - x + 1
2x3 + 2x2y - xy + 3x - y2 + 3y
x5 - y5
Correct answer is D
(x + y) is a factor 2x3 + 2x2y - xy + 3x - y^2
The volume of the sphere is greater than the volume of the cone
The volume of the cone is less than the volume of the cylinder
The total surface area of the cone is greater than that of the sphere
The total surface area of the cylinder is less than that of the sphere
The total sufeac area of the cone is equal to that of the cylinder
Correct answer is C
No explanation has been provided for this answer.
The set of value of x and y which satisfies the equations x2 - y - 1 = 0 and y - 2x + 2 = 0 is
1, 0
1, 1
2, 2
0, 2
1, 2
Correct answer is A
x2 - y - 1 = 0.......(i)
y - 2x + 2 = 0......(ii)
By re-arranging eqn. (ii)
y = 2x - 2........(iii)
Subst. eqn. (iii) in eqn (i)
x2 - (2x - 2) - 1 = 0
x2 - 2x + 1 = 0
= (x - 1) = 0
When x - 1 = 0
x = 1
Sub. for x = 1 in eqn. (iii)
y = 2 - 2 = 0
x = 1, y = 0
1cm
\(\sqrt{\frac{3\pi}{24}}\)
\(\frac{\pi}{24\sqrt{3}}\)
24\(\sqrt{3}\)
Correct answer is C
The rise of water is equivalent to the volume of the sphere of radius \(\frac{1}{2}\)cm immersed x \(\frac{1}{\text{No. of sides sq. root 3}}\)
Vol. of sphere of radius = 4\(\pi\) x \(\frac{1}{8}\) x \(\frac{1}{3}\) - (\(\frac{1}{2}\))3
= \(\frac{1}{8}\)
= \(\frac{\pi}{6}\) x \(\frac{1}{4\sqrt{3}}\)
= \(\frac{\pi}{24\sqrt{3}}\)