Home
Class 10
MATHS
If acottheta+b"c o s e c"theta=p and bco...

If `acottheta+b"c o s e c"theta=p` and `bcottheta+a"c o s e c"theta=q` , then `p^2-q^2=`
(a)`a^2-b^2`
(b) `b^2-a^2`
(c) `a^2+b^2`
(d) `b-a`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

If tan theta=1/sqrt7 ,then (c o s e c^2theta-sec^2theta)/(c o s e c^2theta+sec^2theta)=?

If a^2+b^2+2a bcostheta=1,c^2+d^2+2c dcostheta=1 and a c+b d+(a d+b c)costheta=0, then prove that a^2+c^2=cos e c^2theta

In Q. No 126, c= (a) b (b) 2b (c) 2b^2 (d) -2b

In a right triangle A B C right-angled at B , if P a n d Q are points on the sides A Ba n dA C respectively, then (a) A Q^2+C P^2=2(A C^2+P Q^2) (b) 2(A Q^2+C P^2)=A C^2+P Q^2 (c) A Q^2+C P^2=A C^2+P Q^2 (d) A Q+C P=1/2(A C+P Q)dot

Minimum value of a^2cos e c^2theta+b^2sec^2theta is (where a b >0 )

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is (a) (ab^(2))/((2a-b)^(2)) (b) (a^(2)b)/((2a-b)^(2)) (c) (a^(2)b^(2))/((2a-b)^(2)) (d) None of these

If a ,b, c ,d are in G.P, then (b-c)^2+(c-a)^2+(d-b)^2 is equal to

If p/a + q/b + r/c=1 and a/p + b/q + c/r=0 , then the value of p^(2)/a^(2) + q^(2)/b^(2) + r^(2)/c^(2) is:

Sides a , b , c of !ABC are in A.P. and costheta_(1)=a/(b+c)costheta_(2)=b/(a+c),costheta_(3)=c/(a+b) , then tan^(2)(theta_(1))/2+tan^(2)(theta_(3))/2 =

If p=a+bomega+comega^2 , q=b+comega+aomega^2 , and r=c+aomega+bomega^2 , where a ,b ,c!=0 and omega is the complex cube root of unity, then (a) p+q+r=a+b+c (b) p^2+z^2+r^2=a^2+b^2+c^2 (c) p^2+z^2+r^2=-2(p q+q r+r p) (d) none of these

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. The value of (1+cottheta-cos e c\ theta)(1+tantheta+sectheta) is (a...

    Text Solution

    |

  2. (tantheta)/(sectheta-1)+(tantheta)/(sectheta+1) is equal to (a)2tanth...

    Text Solution

    |

  3. (cos e c\ theta-sintheta)(sectheta-costheta)(tantheta+cottheta) is equ...

    Text Solution

    |

  4. If x=acostheta and y=bsintheta , then b^2x^2+a^2y^2= (a)a^2b^2 (b) ...

    Text Solution

    |

  5. If x=asectheta and y=btantheta , then b^2x^2-a^2y^2= (a)a b (b) a^2...

    Text Solution

    |

  6. (cottheta)/(cottheta-cot3theta) + tantheta/(tantheta-tan3theta) is equ...

    Text Solution

    |

  7. 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to (a)0 (...

    Text Solution

    |

  8. If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (...

    Text Solution

    |

  9. If acottheta+b"c o s e c"theta=p and bcottheta+a"c o s e c"theta=q , t...

    Text Solution

    |

  10. The value of sin^2 29o+sin^2 61o is (a) 1 (b) 0 (c) 2sin^2 29o (d) ...

    Text Solution

    |

  11. If x=rsinthetacosvarphi , y=rsinthetasinvarphi and z=rcostheta , then ...

    Text Solution

    |

  12. If sintheta+sin^2theta=1 , then cos^2theta+cos^4theta= (a)-1 (b) 1 ...

    Text Solution

    |

  13. If acostheta+bsintheta=m and asintheta-bcostheta=n , then a^2+b^2= (...

    Text Solution

    |

  14. If cosA+cos^2A=1 , then sin^2A+sin^4A= (a)-1 (b) 0 (c) 1 (d) None...

    Text Solution

    |

  15. If x=asecthetacosvarphi , y=bsecthetasinvarphi and z=ctantheta , then ...

    Text Solution

    |

  16. If acostheta-bsintheta=c , then asintheta+bcostheta= (a)+-sqrt(a^2+b^...

    Text Solution

    |

  17. 9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

    Text Solution

    |

  18. (1+tanθ+secθ)( 1+cotθ−cosec θ )=   (a) 0               (b) 2        ...

    Text Solution

    |

  19. ( secA+tanA )( 1−sinA )= (a)secA (b) sinA (c) cosec A (d...

    Text Solution

    |

  20. (1+tan^2A)/(1+cot^2A) is equal to sec^2A (b) -1 (c) cot^2A (d) tan^2A

    Text Solution

    |