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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 C_{r} is the coefficient of x^{r} in the expansion of (1 + x)^{20}
Reason(R) : Cr = C_{n − r} for any positive integer n
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 inverse of does not exist.
Reason(R) :The matrix is non singular.
If the line 3x4y=λ touches the circle x^{2}+y^{2}4x8y5=0, λ can have the values
The area (in square units) bounded by the curves y^{2} = 4x and x^{2} = 4y in the plane is
The length of the tangent from (0,0) to the circle 2x^{2} + 2y^{2} + 7x 7 y + 5 = 0 is
The differential equation which represents the family of plane curves y=exp. (cx) is
The fundamental period of the function f(x) = 2 cos 1/3(x  π) is
The value of a for which the system of equations
a^{3}x+(a+1)^{3}y+(a+2)^{3}z = 0
ax+(a+1)y+(a+2)z = 0
x+y+z = 0
has a nonzero solution, is
In the following question, a Statement1 is given followed by a corresponding Statement2 just below it. Read the statements carefully and mark the correct answer
Tangents are drawn from the point (17,7) to the circle x^{2}+y^{2}=169.
Statement1:
The tangents are mutually perpendicular.
Statement2:
The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is x^{2}+y^{2}=338.
The pole of the line 2x + 3y − 4 = 0 with respect to the parabola y^{2} = 4 x is
The two opposite vertices of a square on xyplane are A(1,1) and B(5,3), the equation of other diagonal (not passing through A and B) is
If the normal to the curve y=f(x) at the point (3,4) makes an angle 3π/4 with the positive xaxis, then f'(3)
Assume e^{4/5} = 2/5. If x, y satisfy, y = e^{x} and the minimum value of (x^{2} + y^{2}) is expressed in the form of m/n then (2m  n)/5 equals (where m & n are coprime natural numbers)
Let ƒ(x) be nonconstant thrice differentiable function defined on (–∞, ∞) such that ƒ(x) = ƒ(6 – x) and ƒ'(0) = 0 = ƒ'(2) = ƒ'(5). If 'n' is the minimum number of roots of (ƒ"(x))^{2} + ƒ'(x)ƒ"'(x) = 0 in the interval x ∈ [0, 6] then sum of digits of n equals
If a, b, c, x, y, z are nonzero real numbers and then the value of (a^{3} + b^{3} + c^{3} + abc) equals
If the coordinate of the vertex of the parabola whose parametric equation is x = t^{2} – t + 1 and y = t^{2} + t + 1, t ∈ R is (a, b) then (2a + 4b) equals
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357 docs148 tests

JEE Main Maths Mock Test 2 Test  25 ques 
JEE Main Maths Mock Test 3 Test  25 ques 
JEE Main Maths Mock Test 4 Test  25 ques 
JEE Main Maths Mock Test 5 Test  25 ques 
JEE Main Maths Mock Test 6 Test  25 ques 