Home
Class 11
MATHS
Consider three points P-=(-sin(beta-alph...

Consider three points `P-=(-sin(beta-alpha),-cosbeta), Q-=(cos(beta-alpha),sin beta)` and `R-=(cos(beta-alpha+theta),sin(beta-theta))`, where `0lt alpha,beta,thetaltpi//4`. Then

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Consider three points P = (-sin (beta-alpha), -cos beta) , Q = (cos(beta-alpha), sin beta) , and R = ((cos (beta - alpha + theta), sin (beta - theta)) , where 0< alpha, beta, theta < pi/4 Then

Prove that (cos2 alpha-cos 2 beta)/(sin2 alpha+sin2 beta)=tan(beta-alpha)

If sin alpha = sin beta and cos alpha = cos beta then-

sin alpha + sin beta = a "and" cos alpha + cos beta = b sin (alpha + beta) =

sin alpha + sin beta = a "and" cos alpha + cos beta = b cos (alpha + beta) =

|{:(cosalpha cos beta,cos alpha sin beta ,-sin alpha),(-sin beta,cos beta," "0),(sin alpha cosbeta ,sinalpha sin beta ,""cos alpha):}|

If (sin (theta- alpha))/(sin (theta- beta))=(x)/(y) and (cos (theta- alpha))/(cos(theta-beta))=(a)/(b) , then show that cos(alpha- beta)=(ax+by)/(bx+ay) .

sin alpha + sin beta = a "and" cos alpha + cos beta = b (tan alpha + tan beta)/(1-tan alpha tan beta)=

In sin alpha+ sin beta=(1)/(2) and cos alpha+ cos beta =(5)/(4) , find the value of tan alpha+tan beta .

If tan ( alpha-beta) = (sin 2 beta)/(5-cos 2 beta),"find the value of " tan alpha : tan beta.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A man starts from the point P(-3, 4) and reaches point Q (0,1) touchin...

    Text Solution

    |

  2. Statement 1 : The area of the triangle formed by the points A(1000 ,...

    Text Solution

    |

  3. Consider three points P-=(-sin(beta-alpha),-cosbeta), Q-=(cos(beta-alp...

    Text Solution

    |

  4. Factorise: (l+m)^2–4lm

    Text Solution

    |

  5. Find |vecx| if for a unit vector, veca , (vecx-veca).(vecx+veca)=12,

    Text Solution

    |

  6. A straight line passing through P(3,1) meets the coordinate axes at A ...

    Text Solution

    |

  7. Let A-=(3,-4),B-=(1,2). Let P-=(2k-1,2k+1) be a variable point such th...

    Text Solution

    |

  8. If |{:(x1,,y1,,1),(x2,,y2,,1),(x3,,y3,,1):}|=|{:(a1,,b1,,1),(a2,,b2,,1...

    Text Solution

    |

  9. OPQR is a square and M,N are the middle points of the sides of PQ nad ...

    Text Solution

    |

  10. Which of the following sets of points form an equilateral triangle? (...

    Text Solution

    |

  11. A particle p moves from the point A(0,4) to the point 10 ,-4) . The pa...

    Text Solution

    |

  12. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

    Text Solution

    |

  13. If two vertices of a triangle are (1,3) and (4,-1) and the area of tri...

    Text Solution

    |

  14. Find the number points (both the coordinates should be integer) exactl...

    Text Solution

    |

  15. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  16. Find the orthocentre of the triangle whose vertices are (0,0),(3,0)...

    Text Solution

    |

  17. The area of a triangle is 5. Two of its vertices are A(2,1) and B(3...

    Text Solution

    |

  18. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

    Text Solution

    |

  19. If the point P[X1+t(X2-X1),y1+t(y2-y1] divides AB internally where (X1...

    Text Solution

    |

  20. O P Q R is a square and M ,N are the midpoints of the sides P Q and Q ...

    Text Solution

    |