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Recent questions tagged circle

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Use the graphs of \(f\) and \(g\) to evaluate the composite function. \[ (f \circ g)(2) \]
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asked May 23 in Mathematics by Pieter Diamond (40,709 points) | 48 views
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The figure shows two circles are inscribed inside a square and when OA and OB are chords of the circles, What is the angle between the chords? \(O\) is the centre of the circle with tangent \(B A\) and secant \(B C E\). \(O D=D E=D C\) and \(A O E\) is a straight line. \(O\) is the centre of circle with tangents \(K I\) and \(I T . O E I\) is a straight line. \(A, B, C\) and \(D\) are points on the circumference of a circle such that \(A B=B C\). \(A F\) is a tangent to the circle through \(A B C D\) at \(A\). In the diagram below \(A D\|E F\| B C\). Prove that \(A F \cdot B D=A C \cdot D F\). Prove that \(A B D E\) is a cyclic quadrilateral given \(\hat{E}_{2}=x\).
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\(T R N\) is a tangent at \(R\) and \(S R=R Q\). If \(\hat{R}_{1}=x\), find five angles equal to \(x\). Given that the angle between a tangent to a circle and a chord drawn from the point of contact is equal to an angle in the alternate segment. Prove that \(\hat{A}_{1}=\hat{C}_{2}\) \(P K\) and \(K N\) are tangents to circle centre \(M\). If \(\hat{N}_{1}=24^{\circ}\), determine the size of \(P \hat{K} N\). Given that two tangents drawn to a circle from the same point outside the circle are equal in length and tangents \(T P K\) and \(S R K\) to circle centre \(O\), prove that \(PK=RK\) Prove that \(T P K\) is a tangent to circle centre \(O\) and radius of \(8 \mathrm{~cm}\), if \(O K=17 \mathrm{~cm}\) and \(P K=15 \mathrm{~cm} .\) Given that two tangents drawn to a circle from the same point outside the circle are equal in length and tangents \(T P K\) and \(S R K\) to circle centre \(O\).Prove that \(PK=RK\) Prove that \(T P K\) is a tangent to circle centre \(O\) and radius of \(8 \mathrm{~cm}\), if \(O K=17 \mathrm{~cm}\) and \(P K=15 \mathrm{~cm}\). Given circle centre \(O\) with tangent \(Z Y U\) and \(M N=F G\). If \(\hat{H}=18^{\circ}\) determine the size of \(\hat{Y}_{2}\). \(A B C D\) is a parallelogram and \(B \hat{A} D=\hat{F}_{1}\). Prove that \(C E F G\) is a cyclic quad. \(G F E\) is a double chord and \(\hat{H}_{1}=75^{\circ}\)
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Given circle \(G H J K\) with \(G M \perp H J\) and \(G L \perp L J . \hat{G}_{3}=24^{\circ}\) Given that the opposite angles of a cyclic quadrilateral are supplementary and Circle centre \(C\) with quad \(QUAD\), prove that \(\hat{Q}+\hat{A}=180^{\circ}\) Given circle centre \(O\) with \(\hat{C}=36^{\circ}\)
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Given that the circle centre \(N\) with arc \(R T\) subtending \(R \hat{P} T\) and \(R \hat{M} T\) in the same segment. Prove that \(R \hat{P} T=R \hat{M} T\) In circle \(O\) with diameter \(A C, D C=A D\) and \(\hat{B}_{2}=56^{\circ}\). Determine the size of \(D \hat{A} B\) Given that the circle centre \(M\) with arc \(A B\) subtending \(A \hat{M} B\) at the centre and \(A \hat{C} B\) at the circumference, prove that \(A \hat{M} B=2 \times A \hat{C} B\) Given that a line drawn from the centre of a circle perpendicular to a chord bisects the chord. Prove that \(NM=MP\) Given \(A C\) is a tangent of the blue circle and \(B\) is a 90 degrees, what is the area of \(\triangle A B C\) ?
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asked Jan 13 in Mathematics by MathsGee Platinum (122,714 points) | 73 views
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asked Jan 11 in Mathematics by MathsGee Platinum (122,714 points) | 71 views
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asked Jan 3 in Mathematics by MathsGee Platinum (122,714 points) | 93 views
In the diagram drawn line XX is the directrix. What is the locus of point P?
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Which of the following statements is not correct in relation to the construction shown in the figure?

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