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Find the length of the chord x-y-3=0 of the circle x²+y²-x+3y-22=0 |
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Answer» the condition that the tangents Drawn from (0,0) to S X 2 + y2 + 2gx + 2fy + c = 0 be perpendicular to each other. 2. Find the length of the chord intercepted by the circle x2 +y2 – x + 3y – 22 = 0 on the line y = x -3 3. Show that x2 + y2 + 2lx + 4 = 0; x2 + y2 + 2my - g = 0 CIRCLES intersect each other orthogonally. 4. Find the vertex and focus of x2 –6x–6y+6 = 0. 5. If 3x – 4y + k = 0 is a tangent to x2 – 4y2 = 5, find value of k. 6. Evaluate x 1 x log x e dx x + ∫ on (0, ∞). 7. Evaluate x dx , x R 1 e ∈ + ∫ 8. Evaluate / 2 x / 2 cos x dx 1 e π −π + ∫ 9. Evaluate / 4 4 0 sec d π θ θ |
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