In a triangle ABC, let angle C=π/2.If r and R are the inradius and the circumradius resp, of a triangle then 2(r+R) is equal to,
(a). a+b
(b). b+c
(c). c+a
(d). a+b+c
A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in freespace.
It is under continuous illumination of 200 nm wavelength light. As photoelectrons are emitted, the
sphere gets charged and acquires a potential. The maximum number of photoelectrons emitted from the
sphere is A ´ 10^z (where 1 < A < 10). The value of ‘Z’ is
For a > b > c > 0, the distance between (1, 1) and the point of intersection of the lines ax + by + c = 0 and bx + ay + c = 0 is less than 2 2, then
option
A. a+b-c>0
B. a+b-c<0
C. a-b-c=0
D. None of these
: Three machines A, B and C produce respectively 60%, 30% and 10 % of the total number of items of a factory. The percentage of defectives output of these machines are 2%, 3% and 4%, respectively. If an item is selected at random and is found defective. Find the probability that the selected item was produced by machine C.
Oxidation states of the metal in the minerals haematite and magnetite, respectively, are
(A) II, III in haematite and III in magnetite (B) II, III in haematite and II in magnetite
(C) II in haematite and II, III in magnetite (D) III in haematite and II, III in magnetite
Consider
L1 : 2x + 3y + p - 3 = 0
L2 : 2x + 3y + p + 3 = 0,
where p is a real number, and C : x^2 + y^2 + 6x - 10y + 30 = 0.
STATEMENT -1 : If line L1 is a chord of circle C, then line L2 is not always a diameter of circle C.
and
STATEMENT -2 : If line L1 is a diameter of circle C, then line L2 is not a chord of circle C.
(A) STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is a correct explanation for STATEMENT -1
(B) STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is NOT a correct explanation for STATEMENT -1.
(C) STATEMENT -1 is True, STATEMENT -2 is False
(D) STATEMENT -1 is False, STATEMENT -2 is True
If the indian govt. allows to drive a vehicle on right side of a road instead of left then what will be change in the radius of Earth?
a)increase
b)decrease
c)remains the same
d)none of these