JEE Main Maths Test- 3 - JEE MCQ

The real part of  is

The value of   log3 tan1º + log3 tan2º +....+log3 tan 89º   is

If the solution of quadratic equation x²-11x+22 are x=3 and x=6, then the base of the number is

1² + (1² + 2²) + (1² + 2² + 3² )+..... 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 x² y²  = 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 9x² - 12xy cos θ + 4y²  is

The foci of the ellipse 25 (x+1)² + 9(y+2)² = 225 are at

If  A₁, A₂  be two A.M’s and G₁, G₂ be two G..M.’s between a and b, then ( A₁, A₂ )/G₁,G₂ 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

9x² - 16y² = 144  represents

If  then r is equal to

Coefficient of X⁴ in the expansion of  is

The locus of the mid-point of the chords of a circle x² + y² =4, which subtended a right angle at the centre is

If α and β are roots of eq. λ(x²–x) + x + 5 = 0
If λ₁, λ₂ are two values of λ for which  then 

If graph of x² + bx + d is following.

ΔOBC is right angled isosceles triangle and A is mid point of OB then d =

Sum of non real roots of eq.
(x² + x – 2) · (x² + x – 3) = 12 is …..

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