Home
Class 12
MATHS
Suppose ABCS (in order) is a quadrilater...

Suppose ABCS (in order) is a quadrilateral inscribed in a circle. Which of the following is/are always true? `secB=secD` (b) `cotA+cotC=0` `cos e cA=cos e cC` (d) `tanB+tanD=0`

A

`secB=secB`

B

`cotA+cotC=0`

C

`cosecA=cosecC`

D

`tanB+tanD=0`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Opposite angles of a cyclic quadrilateral are supplementary.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Matrix Match Type|3 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Exercises|57 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|2 Videos

Similar Questions

Explore conceptually related problems

Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Which of the following is/are always true? secB=secD (b) cotA+cotC=0 cos e cA=cos e cC (d) tanB+tanD=0

Which of the following is the greates? cos e c1 (b) cos e c2 cos e c4 (d) cos e c(-6)

For real values of theta, which of the following is/are always positive? "cos"(costheta) (b) cos(sintheta) sin(costheta) (d) sin(sintheta)

If the equation a x^2+b x+c=0(a >0) has two real roots alphaa n dbeta such that alphalt-2 and betagt2, then which of the following statements is/are true? (a) a-|b|+c<0 (b) clt0,b^2-4a cgt0 (c) 4a-2|b|+c<0 (d) 9a-3|b|+c<0

If f(x)a n dg(x) are two positive and increasing functions, then which of the following is not always true? (a) [f(x)]^(g(x)) is always increasing (b) [f(x)]^(g(x)) is decreasing, when f(x) 1,t h e n[f(x)]^(g(x)) is increasing.

If a triangle ABC inscribed in a fixed circle be slightly varies in such a way as to have its varies aways on the circle, then show that (da)/(cosA)+(db)/(cos B)+(dc)/(cos c)= 0

If positive quantities a,b,c are in H.P. , then which of the following is not true ? a. b gt (a+c)/(2) b. (1)/(a-b)-(1)/(b-c) gt 0 c. ac gt b^(2) d. none of these

If A, B, C, D are the four angle taken in order of a cyclic quadrilateral, prove that (iii) cos A + cos B + cos C + cos D = 0

Which of the following is more paramagnetic ? Co^(2+)(3d^(7)4s^(0)), Cu^(2+)(3d^(9)4s^(0))

Let y(x) be a solution of the differential equation (1+e^x)y^(prime)+y e^x=1. If y(0)=2 , then which of the following statements is (are) true?