Maths-

General

Easy

Question

# Statement-I : Integral curves denoted by the first order linear differential equation are family of parabolas passing through the origin.

Statement-II : Every differential equation geometrically represents a family of curve having some common property.

- Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.
- Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I.
- Statement-I is true, Statement-II is false.
- Statement-I is false, Statement-II is true.

## The correct answer is: Statement-I is false, Statement-II is true.

### Related Questions to study

maths-

### A function f(x) satisfying where x>0 , is

### A function f(x) satisfying where x>0 , is

maths-General

maths-

### (where c is an arbitrary constant) is the general solution of the differential equation then the function

### (where c is an arbitrary constant) is the general solution of the differential equation then the function

maths-General

Maths-

### A function y = f (x) satisfies the condition f '(x) sin x + f (x) cos x = 1, f (x) being bounded when x 0. If

### A function y = f (x) satisfies the condition f '(x) sin x + f (x) cos x = 1, f (x) being bounded when x 0. If

Maths-General

maths-

### Statement-I : In throwing of two dice, let the events A, B and C be 'the first dice shows an even number', 'the second dice shows an odd numbers' and 'both the dice show an odd numbers or both the dice show an even number’ respectively. Then and Therefore A, B and C are mutually independent events

Statement-II : Three events A, B and C are mutually independent if and only if P(A Ç B) = P(A) . P(B), P(B Ç C) = P(B) . P(C), = P(C) . P(A) and = P(A) . P(B) . P(C)

### Statement-I : In throwing of two dice, let the events A, B and C be 'the first dice shows an even number', 'the second dice shows an odd numbers' and 'both the dice show an odd numbers or both the dice show an even number’ respectively. Then and Therefore A, B and C are mutually independent events

Statement-II : Three events A, B and C are mutually independent if and only if P(A Ç B) = P(A) . P(B), P(B Ç C) = P(B) . P(C), = P(C) . P(A) and = P(A) . P(B) . P(C)

maths-General

maths-

### The probability that 4th power of a positive integer ends in the digit 6 is:

### The probability that 4th power of a positive integer ends in the digit 6 is:

maths-General

maths-

### Let A, B, C be pairwise independent events with P(C)> 0 and . Then

### Let A, B, C be pairwise independent events with P(C)> 0 and . Then

maths-General

maths-

### Let A and B be two events such that and stands for complement of event A. Then events A and B are-

### Let A and B be two events such that and stands for complement of event A. Then events A and B are-

maths-General

maths-

### A random variable X has the probability distribution :

For the events E = {X is a prime number} and F = {X < 4}, the probability is-

### A random variable X has the probability distribution :

For the events E = {X is a prime number} and F = {X < 4}, the probability is-

maths-General

maths-

### A fair coin is tossed 3 times. Consider the events A : first toss is head ; B : second toss is head C : exactly two consecutive heads or exactly two consecutive tails

Statement - I A,B,C are independent events.

Statement - II A,B,C are pairwise independent.

### A fair coin is tossed 3 times. Consider the events A : first toss is head ; B : second toss is head C : exactly two consecutive heads or exactly two consecutive tails

Statement - I A,B,C are independent events.

Statement - II A,B,C are pairwise independent.

maths-General

maths-

### An experiment resulting in sample space as S = {a, b, c, d, e, f} Let three events A, B and C are defined as A = {a, c, e,}, B = {c, d, e, f} and C = {b, c, f}. then the correct order sequance is

### An experiment resulting in sample space as S = {a, b, c, d, e, f} Let three events A, B and C are defined as A = {a, c, e,}, B = {c, d, e, f} and C = {b, c, f}. then the correct order sequance is

maths-General

maths-

### An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle is

### An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle is

maths-General

maths-

### From a point P, perpendicular tangents PQ and PR are drawn to ellipse Locus of circumcentre of triangle PQR is

### From a point P, perpendicular tangents PQ and PR are drawn to ellipse Locus of circumcentre of triangle PQR is

maths-General

maths-

### The least integral value that contained is the range of the function f defined by is ___

### The least integral value that contained is the range of the function f defined by is ___

maths-General

maths-

### Let then

### Let then

maths-General

maths-

### If m is the slope of tangent to the curve then

### If m is the slope of tangent to the curve then

maths-General