TS EAMCET · Maths · Circle
If are the slopes of the tangents drawn from a point to the circle then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given: x2+y2-6x+4y+12=0 ....1 ⇒x-32+y+22=1 It represents circle having centre 3,-2 and radius 1 unit. Let the slope of tangent be m, then equation of tangent is y+3=mx-1 ⇒mx-y-m-3=0 ....2 Perpendicular distance from centre of the…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The curve \(y=x^3-2 x^2+3 x-4\) intersects the horizontal line \(y=-2\) at the point \(P(h, k)\). If the tangent drawn to this curve at P meets the \(X\)-axis at \(\left(x_1, y_1\right)\), then \(x_1=\)TS EAMCET 2024 Medium
- Consider the following statements: I. The number of positive integral solutions of \(x_1+x_2+x_3+x_4=10\) is 286 . II. If \(25 !=10^n \times k,(k \in \mathbf{N})\), then \(n=6\) Which one of the following options is true?TS EAMCET 2020 Medium
- The number of real values of \(\alpha\) for which the pair of lines represented by \(\left(\alpha^2+12|\alpha|\right) x^2+6 x y+(18-21|\alpha|) y^2=0\) are at right angles to each other, isTS EAMCET 2022 Medium
- The perimeter of a \(\triangle A B C\) is 6 times the arithmetic mean of the sine of its angles. If its side \(B C\) is of unit length, then \(\angle A=\)TS EAMCET 2020 Easy
- \(\frac{\sin 1^{\circ}+\sin 2^{\circ}+\ldots+\sin 89^{\circ}}{2\left(\cos 1^{\circ}+\cos 2^{\circ}+\ldots+\cos 44^{\circ}\right)+1}=\)TS EAMCET 2025 Medium
- \(\vec{r} \cdot(\hat{i}-\hat{j}+\hat{k})=5\) and \(\vec{r} \cdot(2 \hat{i}+\hat{j}-\hat{k})=3\) are two planes. A plane \(\pi\) passing through the line of intersection of these two planes, passes through the point \((0,1,2)\). If the equation of \(\pi\) is \(\vec{r} \cdot(a \hat{i}+b \hat{j}+c \hat{k})=m\), then \(\frac{b c}{a^2}=\)TS EAMCET 2024 Medium
More PYQs from TS EAMCET
- From the pole of the earth, a body of mass \(m\) is imparted a velocity \(v_0\) directed vertically up. If \(M\) is the mass of the earth, \(R\) its radius and \(g\) is the free-fall acceleration on its surface, then the height \(h\) to which the body will ascent is (neglect air resistance)TS EAMCET 2018 Medium
- If the distances of the object and its real image from the principal focus of a concave mirror are 16 cm and 9 cm respectively, then the focal length of the mirror isTS EAMCET 2025 Medium
- The equation has three equal roots. If are the other two root of this equation, thenTS EAMCET 2018 Hard
- Type of reaction involved in the initial step in the formation of bakeliteTS EAMCET 2020 Easy
- Two convex lenses of focal lengths \(f_1\) and \(f_2\) form images with magnification \(m_1\) and \(m_2\), when used individually for an object kept at the same distance from the lenses. Then, \(f_1 / f_2\) isTS EAMCET 2016 Hard
- Find the radius of \(\mathrm{Be}^{3+}\) ions in its ground state assuming Bohr's model to be valid \(\left(a_0=53 \mathrm{pm}\right)\).TS EAMCET 2021 Easy