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If DeltaABC, if (c+a)/12=(a+b)/14=(b+c)/...

If `DeltaABC,` if `(c+a)/12=(a+b)/14=(b+c)/18`, then find vaue of `(7r_(1)-r_(2))/(11r)` is

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To solve the problem, we need to manipulate the given equations and find the required expression step by step. ### Step-by-Step Solution 1. **Set Up the Equations**: Given that: \[ \frac{c + a}{12} = \frac{a + b}{14} = \frac{b + c}{18} = k ...
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RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. If DeltaABC, if (c+a)/12=(a+b)/14=(b+c)/18, then find vaue of (7r(1)-r...

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  2. The least positive vlaue of the parameter 'a' for which there exist at...

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  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  4. If f(x)=x + tan x and f si the inverse of g, then g'(x) equals

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  5. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

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  6. If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...

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  7. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

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  8. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

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  9. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

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  10. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for

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  11. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

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  12. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

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  13. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

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  14. Let f(x) = x^(3) - x^(2) + x + 1 and g(x) = {{:(max f(t)",", 0 le t le...

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  15. The sum of the roots of the equation tan^(-1)(x+3)-tan^(-1)(x-3)="sin"...

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  16. For an ellipse having major and minor axis along x and y axes respecti...

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  17. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

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  18. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

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  19. For the curve y=4x^3-2x^5, find all the points at which the tangents p...

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  20. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

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  21. If y + b = m(1)(x + a) and y + b = m(2)(x+a) are two tangents to the p...

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