1
JEE Advanced 2019 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Change Language
Let f(x) = sin($$\pi $$ cos x) and g(x) = cos(2$$\pi $$ sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order:

X = {x : f(x) = 0}, Y = {x : f'(x) = 0}

Z = {x : g(x) = 0}, W = {x : g'(x) = 0}

List - I contains the sets X, Y, Z and W. List - II contains some information regarding these sets.

JEE Advanced 2019 Paper 2 Offline Mathematics - Trigonometric Functions & Equations Question 10 English

Which of the following is the only CORRECT combination?
A
(IV), (P), (R), (S)
B
(III), (P), (Q), (U)
C
(III), (R), (U)
D
(IV), (Q), (T)
2
JEE Advanced 2019 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Change Language
Let f(x) = sin($$\pi $$ cos x) and g(x) = cos(2$$\pi $$ sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order :

X = {x : f(x) = 0}, Y = {x : f'(x) = 0}

Z = {x : g(x) = 0}, W = {x : g'(x) = 0}

List - I contains the sets X, Y, Z and W. List - II contains some information regarding these sets.

JEE Advanced 2019 Paper 2 Offline Mathematics - Trigonometric Functions & Equations Question 9 English
A
(II), (Q), (T)
B
(II), (R), (S)
C
(I), (P), (R)
D
(I), (Q), (U)
3
JEE Advanced 2019 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Change Language
Let the circles

C1 : x2 + y2 = 9 and C2 : (x $$-$$ 3)2 + (y $$-$$ 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x $$-$$ h)2 + (y $$-$$ k)2 = r2 satisfies the following conditions :

(i) Centre of C3 is collinear with the centres of C1 and C2.

(ii) C1 and C2 both lie inside C3 and

(iii) C3 touches C1 at M and C2 at N.

Let the line through X and Y intersect C3 at Z and W, and let a common tangent of C1 and C3 be a tangent to the parabola x2 = 8$$\alpha $$y.

There are some expression given in the List-I whose values are given in List-II below.

JEE Advanced 2019 Paper 2 Offline Mathematics - Conic Sections Question 23 English

Which of the following is the only INCORRECT combination?
A
(III), (R)
B
(IV), (S)
C
(I), (P)
D
(IV), (U)
4
JEE Advanced 2019 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Change Language
Let the circle C1 : x2 + y2 = 9 and C2 : (x $$-$$ 3)2 + (y $$-$$ 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x $$-$$ h)2 + (y $$-$$ k)2 = r2 satisfies the following conditions :

(i) centre of C3 is collinear with the centers of C1 and C2.

(ii) C1 and C2 both lie inside C3, and

(iii) C3 touches C1 at M and C2 at N.

Let the line through X and Y intersect C3 at Z and W, and let a common tangent of C1 and C3 be a tangent to the parabola x2 = 8$$\alpha $$y.

There are some expression given in the List-I whose values are given in List-II below.

JEE Advanced 2019 Paper 2 Offline Mathematics - Conic Sections Question 24 English

Which of the following is the only CORRECT combination?
A
(II), (T)
B
(I), (S)
C
(II), (Q)
D
(I), (U)
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