1 Crore+ students have signed up on EduRev. Have you? 
Value of lim_{x → 0}(1+Sin(x))^{Cosec(x)}
lim_{x → 0}(1+Sin(x))^{Cosec(x)}
Put sin(x) = t we get
lim_{t → 0}(1+t)^{(1⁄t)} = e.
If the correlation coefficient between two variables is 1, then the two least square lines of regression are
First we consider theta as x
1/1cosx+isinx=1/2cos^2 x/2 + 2isinx/2cosx/2
=sec(x/2)/2 {1/cosx/2 + isinx/2}
=sec(x/2)/2 (1/e^ix/2). (e^ix=cosx+isinx){eulers theorem)
=sec(x/2)/2 e^ix/2
=sec(x/2)/2 [ cos(x/2) + i sun(x/2)]
=1/2secx/2.cosx/2.1/2itanx/2
=1/2.i(1/2tanx/2)
=Re(z)=1/2
The value of log3 tan1º + log3 tan2º +....+log3 tan 89º is
Loga+log=log(ab)
tan(90A)=cotA
log(tab.tan2......tan45........cot2.cot1). tan45=1
tanA.cotA=1
=log(1)=0
If the solution of quadratic equation x^{2}11x+22 are x=3 and x=6, then the base of the number is
1^{2} + (1^{2} + 2^{2}) + (1^{2} + 2^{2} + 3^{2 })+..... upto 22^{nd} term is
In ΔABC, ∠B = 90^{o} and b a = 4. The area of the triangle is the maximum when ∠C is
Let E be the ellipse and C be the circle x^{2} y^{2} = 4. Let P and Q be the point (1,2) and (2,1) respectively. Then
The third term of a G.P. is 4. The products of the first five term is
If cos^{1} x/2 + cos ^{1} y/3 = θ Then 9x^{2}  12xy cos θ + 4y^{2} is
The foci of the ellipse 25 (x+1)^{2} + 9(y+2)^{2} = 225 are at
If A_{1}, A_{2 }be two A.M’s and G_{1}, G_{2} be two G..M.’s between a and b, then ( A_{1}, A_{2 })/G_{1},G_{2} is equal to
A tree is broken by wind, its upper part touches the ground at a point 10 meters from the foot of the tree and makes an angle of 60º with the ground the entire lenght of the tree of
Coefficient of X^{4} in the expansion of is
The locus of the midpoint of the chords of a circle x^{2} + y^{2} =4, which subtended a right angle at the centre is
If α and β are roots of eq. λ(x^{2}–x) + x + 5 = 0
If λ_{1}, λ_{2} are two values of λ for which then
If graph of x^{2} + bx + d is following.
ΔOBC is right angled isosceles triangle and A is mid point of OB then d =
f(0) = d
OC = d ⇒ OB = d
OA = d/2
Roots of eq. are d & d/2
Product of roots d × d/2 = d
Sum of non real roots of eq.
(x^{2} + x – 2) · (x^{2} + x – 3) = 12 is …..
x^{2} + x = t
t^{2} – 5t – 6 = 0
t = 6 or t = –1
x^{2} + x = 6 x^{2} + x = –1
x^{2} + x – 6 = 0 x^{2} + x + 1 = 0
Roots are real sum of roots = –1
2^{1/4} . 4^{1/8} . 8^{1/16} ∞ is equal to?
If ƒ(x) = x – 3 + x – 16 + 22 – x, ∀ x ∈ R increases in (a,∞), then a/4 is equal to
⇒ ƒ'(x) > 0 ∀ x ≥ 16 ⇒ a = 16
2 videos324 docs160 tests

Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 
2 videos324 docs160 tests






