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In a `Delta ABC`

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I is the incentre of Delta ABC , Produced AI bisects BC at D. Prove that Delta ABC is isosceles.

In Delta ABC if the orthocentre is (1,2) and the circumcenter is (0,0) then centroid of Delta ABC is.

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

In Delta ABC, /_B = 90^@ If AB = BC then prove /_C= 45^@

If the perimeter of the triangle formed by feet of altitudes of the triangle ABC is equal to four times the circumradius of Delta ABC , then identify the type of Delta ABC

(iv) The centroid of the Delta ABC is G, If the area of the Delta GBC be 12 Sq. cm, the area of the Delta ABC is

(v) Delta ABC is equilateral and AD is a median of it. If G be the centroid of Delta ABC and GD=10 cm. find the length of GB.

Delta ABC ~ Delta DEF . BC = 3cm, EF = 4cm and area of Delta ABC = 54 cm^(2) . Determine the area of Delta DEF .

Let the lengths of the altitudes drawn from the vertices of Delta ABC to the opposite sides are 2, 2 and 3. If the area of Delta ABC " is " Delta , then find the area of triangle

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. The values of a for which the equation sqrtasinx-2cosx=sqrt2+sqrt(2-a...

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  2. If un=cos^ntheta+sin^ntheta then 2u6-ku4+1=0 then the numerical quanti...

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  3. In a Delta ABC

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  4. If the circumcentre of DeltaABC lies on incircle then cosA+cosB+cosC=s...

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  5. For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

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  6. Show that the value of the function (sinxcos3x)/(cosxsin3x), where eve...

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  7. if alpha+beta+gamma=2pi prove that cos^2alpha+cos^2beta+cos^2gamma-2co...

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  8. If cosalpha+cosbeta=1/3 and sinalpha+sinbeta=1/4 prove that cos(alpha-...

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  9. Find the value of t, where t in [-pi/2,pi/2] so that 2sint=(5x^2-2x+1...

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  10. If exp{(sin^2 x+sin^4 x+sin^6 x+...)In2} satisfies the quadratic equat...

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  11. If A+B+C=180^@ prove that: sin(B+2C)+sin(C+2A)+sin(A+2B)= 4 sin((B-C)/...

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  12. Prove that (1+sec2theta)(1+sec2^2theta)(1+sec2^3theta)…..(1+sec2^nthet...

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  13. If cot(2x/3)+tan(x/3)=cosec(kx)/3 then the value of k is

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  14. যদি thetain(frac[pi][2],frac[3pi][2]) হয়, তবে sqrt(4cos^4theta+sin^2(2...

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  15. Which one of the following statements is correct ?

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  16. For x belongs to (o,pi) the equation sinx+2sin2x-sin3x=3 has

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  17. Let fk(x)=1/k(sin^k x+cos^k x) Then f4(x)-f6(x) =

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  18. The value of tan(pi/3)+2tan((2pi)/3)+4cot((4pi)/3)+8tan((8pi)/3) is

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  19. The sum of the series underset(n=1)sum sin((nipi)/720) is

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  20. The minimum value of 2^(sin x) + 2^(cos x) is

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