Maths-
General
Easy

Question

The normal of the curve given by the equation x = a (sintheta + costheta), y = a (sintheta – costheta) at the point Q is -

  1. (x + y) costheta + (x – y) sintheta = 0    
  2. (x + y) costheta + (x – y) sintheta = a    
  3. (x + y) costheta – (x – y) sintheta = 0    
  4. (x + y) costheta – (x – y) sintheta = a    

The correct answer is: (x + y) costheta – (x – y) sintheta = 0

Book A Free Demo

+91

Grade*

Related Questions to study

General
Maths-

If the tangent at ‘t’ on the curve y = 8t3 –1, x = 4t2 + 3 meets the curve again at t¢ and is normal to the curve at that point, then value of t must be -

If the tangent at ‘t’ on the curve y = 8t3 –1, x = 4t2 + 3 meets the curve again at t¢ and is normal to the curve at that point, then value of t must be -

Maths-General
General
Maths-

The tangent at (t, t2 – t3) on the curve y = x2 – x3 meets the curve again at Q, then abscissa of Q must be -

The tangent at (t, t2 – t3) on the curve y = x2 – x3 meets the curve again at Q, then abscissa of Q must be -

Maths-General
General
Maths-

If fraction numerator x over denominator a end fraction plus fraction numerator y over denominator b end fraction = 1 is a tangent to the curve x = 4t,y =fraction numerator 4 over denominator t end fraction, t element of R then -

If fraction numerator x over denominator a end fraction plus fraction numerator y over denominator b end fraction = 1 is a tangent to the curve x = 4t,y =fraction numerator 4 over denominator t end fraction, t element of R then -

Maths-General
General
Maths-

The line fraction numerator x over denominator a end fraction + fraction numerator y over denominator b end fraction = 1 touches the curve y = be-x/a at the point :

The line fraction numerator x over denominator a end fraction + fraction numerator y over denominator b end fraction = 1 touches the curve y = be-x/a at the point :

Maths-General
General
physics

An object moves in a straight line. It starts from the rest and its acceleration is . 2 ms2.After reaching a certain point it comes back to the original point. In this movement its acceleration  is -3 ms2, till it comes to rest. The total time taken for the movement is 5 second. Calculate the maximum velocity.

An object moves in a straight line. It starts from the rest and its acceleration is . 2 ms2.After reaching a certain point it comes back to the original point. In this movement its acceleration  is -3 ms2, till it comes to rest. The total time taken for the movement is 5 second. Calculate the maximum velocity.

physicsGeneral
General
Maths-

For the ellipse fraction numerator x to the power of 2 end exponent over denominator 2 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 1 end fraction equals 1 comma the foci are

For the ellipse fraction numerator x to the power of 2 end exponent over denominator 2 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 1 end fraction equals 1 comma the foci are

Maths-General
General
Maths-

For the ellipse fraction numerator x to the power of 2 end exponent over denominator 1 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 4 end fraction equals 1, the latus rectum is

For the ellipse fraction numerator x to the power of 2 end exponent over denominator 1 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 4 end fraction equals 1, the latus rectum is

Maths-General
General
Maths-

The sum of distances of any point on the ellipse 3 x2 + 4y2 = 24 from its foci is

The sum of distances of any point on the ellipse 3 x2 + 4y2 = 24 from its foci is

Maths-General
General
Maths-

The equations x = a open parentheses fraction numerator 1 minus t to the power of 2 end exponent over denominator 1 plus t to the power of 2 end exponent end fraction close parentheses semicolon y equals fraction numerator 2 b t over denominator 1 plus t to the power of 2 end exponent end fraction semicolon t element of R represent

The equations x = a open parentheses fraction numerator 1 minus t to the power of 2 end exponent over denominator 1 plus t to the power of 2 end exponent end fraction close parentheses semicolon y equals fraction numerator 2 b t over denominator 1 plus t to the power of 2 end exponent end fraction semicolon t element of R represent

Maths-General
General
Maths-

The equations x = a cos q, y = b sin q, 0 ≤ q < 2 p, a ≠ b, represent

The equations x = a cos q, y = b sin q, 0 ≤ q < 2 p, a ≠ b, represent

Maths-General
General
Maths-

The line y = 2x + c touches the ellipse fraction numerator x to the power of 2 end exponent over denominator 16 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 4 end fraction equals 1 if c is equal to

The line y = 2x + c touches the ellipse fraction numerator x to the power of 2 end exponent over denominator 16 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 4 end fraction equals 1 if c is equal to

Maths-General
General
Maths-

The eccentricity of the conic 3x2 + 4y2 = 24 is

The eccentricity of the conic 3x2 + 4y2 = 24 is

Maths-General
General
Maths-

The equation of the ellipse whose focus is (1, -1). directrix x – y – 3 = 0 and eccentricity fraction numerator 1 over denominator 2 end fraction is

The equation of the ellipse whose focus is (1, -1). directrix x – y – 3 = 0 and eccentricity fraction numerator 1 over denominator 2 end fraction is

Maths-General
General
Maths-

The equation ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 represents an ellipse if

The equation ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 represents an ellipse if

Maths-General
General
Maths-

On a new year day every student of a class sends a card to every other student. The postman delivers 600 cards. The number of students in the class are :

On a new year day every student of a class sends a card to every other student. The postman delivers 600 cards. The number of students in the class are :

Maths-General