Maths-
General
Easy
Question
Statement-1: P is any point such that the chord of contact of tangents from P to the ellipse 
touches 
The the tangents from P of are at right angles and
Statement-2: The tangent from any point on the director circle of an ellipse are at right angles
- Statemetn-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
- Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
- Statement-1 is True, Statement-2 is False
- Statement-1 is False, Statement-2 is True.
The correct answer is: Statemetn-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
If P is 
then the chord of contact of tangents from P to the ellipse
is 
or 
If this touches 
then 
or 
Hence the locus of 
is 
which is the equation of the director circle of 
Related Questions to study
Maths-
Statement-1: The distance of the tangent through (0, (d) from a focus of the ellipse 
is 5
and
Statement-2: The locus of the foot of the perpendicular from a focus on any tangent to 
is 
Statement-1: The distance of the tangent through (0, (d) from a focus of the ellipse is 5
and
Statement-2: The locus of the foot of the perpendicular from a focus on any tangent to is
Maths-General
Maths-
There are ‘n’ numbered seats around a round table. Total number of ways in which n n1 1 () < n persons can sit around the round table is equal to
There are ‘n’ numbered seats around a round table. Total number of ways in which n n1 1 () < n persons can sit around the round table is equal to
Maths-General
Chemistry-
The IUPAC name of 
is
The IUPAC name of is
Chemistry-General
Maths-
If the normal at any given point P on the ellipse meets its
auxiliary circle at Q and R such that QOR = 90, where O is the centre
of ellipse, then
If the normal at any given point P on the ellipse meets its
auxiliary circle at Q and R such that QOR = 90, where O is the centre
of ellipse, then
Maths-General
Maths-
8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do not occupy odd places is
8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do not occupy odd places is
Maths-General
Maths-
Given an in equation 
whose solution set is given by 
then answer the following questions If solution set for 
is (c,d), then a+b+c+d=
Given an in equation whose solution set is given by then answer the following questions If solution set for is (c,d), then a+b+c+d=
Maths-General
Chemistry-
IUPAC name of ethers is
IUPAC name of ethers is
Chemistry-General
Chemistry-
The functional group present in acylchlorides is
The functional group present in acylchlorides is
Chemistry-General
Maths-
If 
are complex numbers such that 
are vertices of a triangle ABC,
and 
then
If 
then the triangle is
If are complex numbers such that are vertices of a triangle ABC,
and then
If then the triangle is
Maths-General
Maths-
The general procedure for solving inequation containing modulus functions is to split the domain into subintervals and solve the various cases. But there are certain structures of equations which can be solved by a different approach.
For example:
i) The inequation 
has no solution.
ii) Solving the inequaiton 
is equivalent to solving the equations 
iii) Solving the inequation 
is equivalent to solving the equations 
iv) Solving the inequation 
is equivalent to solving the equations 
v) The inequation 
is true for all 
domain of 
vi) The inequation 
is true for all domain of
Set of all real values of x for which 
is defined, is
The general procedure for solving inequation containing modulus functions is to split the domain into subintervals and solve the various cases. But there are certain structures of equations which can be solved by a different approach.
For example:
i) The inequation has no solution.
ii) Solving the inequaiton is equivalent to solving the equations
iii) Solving the inequation is equivalent to solving the equations
iv) Solving the inequation is equivalent to solving the equations
v) The inequation is true for all domain of
vi) The inequation is true for all domain of
Set of all real values of x for which is defined, is
Maths-General
Maths-
Ten different letters of English alphabet are given. Words with five letters are formed from these given letters. Then, the number of words which have at least one letter repeated is
Ten different letters of English alphabet are given. Words with five letters are formed from these given letters. Then, the number of words which have at least one letter repeated is
Maths-General
Maths-
If two real valued functions f(x) & g(x) are given, for fog(x), g(x) is substituted in place of x in f(x) taking care of the domain of fog(x) which is subset of Domain of g(x), only those values of x such that g(x) lies in the Domain of f. Now, If 
then g of (x) is
If two real valued functions f(x) & g(x) are given, for fog(x), g(x) is substituted in place of x in f(x) taking care of the domain of fog(x) which is subset of Domain of g(x), only those values of x such that g(x) lies in the Domain of f. Now, If then g of (x) is
Maths-General
Maths-
where x, y, t R If t (5, k], then greatest value of k for which x is one-one function of t is
where x, y, t R If t (5, k], then greatest value of k for which x is one-one function of t is
Maths-General
Maths-
STATEMENT-I : If [4x] = [x], then the largest set of values of x is. 
and
STATEMENT-II : If [nx] = [x], 
then the largest set of values of x is 
STATEMENT-I : If [4x] = [x], then the largest set of values of x is. and
STATEMENT-II : If [nx] = [x], then the largest set of values of x is
Maths-General
Maths-
has
has
Maths-General
