JEE Main Practice Test- 29 - JEE MCQ
30 Questions MCQ Test - JEE Main Practice Test- 29
The area bounded by the curve y = x3, the x-axis and the ordiantes at x = -2 and x = 1 is
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The equation of the circle when touches x-axis at (3,0) and passing through (1,4) is
The solution of the equation y - x(dy/dx)=a[(y2)+(dy/dx)] is
The order of the differential equation x2+y2+2gx+2fy+c=0, is
If f: R → R is defined by f (x) = x − [ x ] , where [x] is the greatest integer not exceeding x, then the set of discontinuities of f is
and α is constant then the locus of z is
then f ′ a =The equation of ellipse in the form (x2/a2) + (y2/b2) = 1, given the eccentricity to be 2/3 and latus rectum 2/3 is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If P(2a,0) be any point on the axis of parabola, then the chord QPR, satisfies
Reason(R): There exists a point on the axis of the parabola y2 = 4ax such that 
= constant for all chords QPR of the parabola.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): 
Reason(R): If 
, then taking log and differentiating , xx ( 1+ log x) dx = dt .
Assertion(A): The lines 27x - 18y + 25 = 0 and 2x + 3y + 7 = 0 are perpendicular.
Reason(R): Two lines y = m1x + c1 and y = m2x + c2 are perpendicular if m1m2 = -1.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If b = 50, c = 63 and ∠B = 54º, then no such triangle exists.
Reason(R): Since , b > c sin B ⇒ no triangle is formed.
The locus of the point of intersection of the normals at the ends of a focal chord of the parabola y2=4ax is
The probability that a person tossing three fair coins will get either all heads or all tails for the second time on the 5th toss is
If The A.M and G.M. between two distinct positive reals are respectively A and G, then the harmonic mean between the numbers is
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
In a Poisson variate X, if P (X = 0) = 0.2 then the variance of the distribution is
If vectors 2λi+j-k and 2j+k are mutually perpendicular, the value of λ is
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