JEE Main Practice Test- 23 - JEE MCQ
30 Questions MCQ Test - JEE Main Practice Test- 23
The area bounded by the curves y = sin x between the ordinates x = 0, x = π and the x-axis is
The 10th term of the expansion of (x-1)11 (in decreasing powers of x) is
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x=7 touches the circle x2 + y2 - 4x - 6y - 12 = 0, then the co-ordinates of the point of contact are
The volume of a solid which is obtained by revolving area bounded by an ellipse x2+9y2=9 and straight line x+3y=3 about y-axis is
equal to?
where [x] denotes the greatest integer less than or equal to x, is continuous at x = 2, then the value of a is equal to
If x/a + y/b = √2 touches the ellipse (x2/a2) + (y2/b2) =1, then its eccentric angle θ is equal to
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): In the binomial expansion of (a-b)n , n ≤ 5, the sum of the 5th and 6th terms is zero, then 
Reason(R): In the expansion of (x+y)n, (r+1) th term from the beginning is called the general term Tr+1 Tr+1 = nC, xn-r yr
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):The function
is increasing function.
Reason(R): A function f(x) is said to be an increasing function (or monotonically increasing) at an interval a < x < b, if for any two points x1 and x2 of the interval f(x1) < f(x2) when x1 < x2.
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): Equation of a straight line through the point (3,1,-6) and parallel to each of the two planes 2x - 3y + z + 5 = 0 and x + y + 2z = 2 is 
Reason(R): The required line will be parallel to the line of intersection of the two planes.
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): A student is allowed to select at the most n books from a collection of (2n+1) books. If the total number of ways in which he can select a book is 63, then n is 3.
Reason(R): By the property of 
The pole of the straight line x − 2y + 4 = 0 with respect to the parabola y2 = 6 x is
The numbers of all words formed from the letters of the word CALCUTTA is
Minimum area of the triangle formed by any tangent to the ellipse 
with the coordinate axes is
If log(a + c), log(c - a), log (a - 2b + c) are in A.P., then
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