SRMJEEE Maths Mock Test - 5 - JEE MCQ

If in the expansion of [(x⁴)+(1/x³)]¹⁵ in r^th term x⁴ occurs, then r=

The correct statement regarding the position of point (-6,2) with respect to lines 2x+3y-4=0 and 6x+9y+8=0 is

If two circles of equal radii a and with centres (2,3) and (5,6) cut each other at right angle then, a=

Equation [(x²)/(2-r)]+[(y²)/(r-5)]+1=0 represents an ellipse if

[(1-2i)/(2+i)] + [(4-i)/(3+2i)] =

The area bounded by two curves y²=4ax and x²=4ay is

The degree and order of the differential equation of the family of all parabolas whose axis is x-axis are respectively

f(x)=x²-27x+5 is increasing when

∫[(1)/(1-sinx)]dx=

If cot⁻¹[(cos α)^1∕2] - tan⁻¹[(cot α)^1∕2] = x, then sin x =

All diagonal elements of skew symmetric matrix are

The value of lim 

Let f(x) be a function such that f'(a) ≠ 0. Then at x = a,f(x)

The inverse of matrix

The number of partition values in case of quartiles is:

Given the following data:
No. of observation = 1000
Arithmetic mean = 1000
Variance = 256.0
The co-efficient of variance will be equal to

The equation of pair of lines passes through (1,1) and perpendicular to lines 3x²-7xy-2y²=0 is

The probability that a card drawn from a pack of 52 cards will be diamond or king is

In an election there are five candidates for three places. A man can vote for maximum number of candidates. In how many total ways can a men vote?

In a Δ ABC , the inradius and three exradii are r , r₁ , r₂ and r₃ respectively. In usual notations the value of r. r₁.r₂.r₃ is equal to

The sum of the series 1.3²+ 2.5² + 3.7² +.....upto 20 terms is

If α, β are the roots of the equation x² + x + 1 = 0 and (α/β), (β/α) are the roots of x² + px + q = 0, then p is equal to

In the set W of whole numbers an equivalence relation R is defined as follows :

aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by

If lines 2x+3ay-1=0 and 3x+4y+1=0 are metually perpendicular, then a =

The tangent to a given curve y=f(x) is perpendicular to x-axis if